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234344004134320 = 245371071481499601
BaseRepresentation
bin110101010010001001110111…
…000111110010010110110000
31010201202001211120111011220101
4311102021313013302112300
5221203443010024244240
62150224052125122144
7100234536611636353
oct6522116707622660
91121661746434811
10234344004134320
116873a808aa8723
12223495309b9354
13a09b710b16152
1441c244b72c29a
151c15c5a7a939a
hexd522771f25b0

234344004134320 has 160 divisors (see below), whose sum is σ = 565187656228416. Its totient is φ = 90290589696000.

The previous prime is 234344004134281. The next prime is 234344004134327. The reversal of 234344004134320 is 23431400443432.

234344004134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2343440041343202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 234344004134320.

It is not an unprimeable number, because it can be changed into a prime (234344004134327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468812520 + ... + 469312120.

Almost surely, 2234344004134320 is an apocalyptic number.

234344004134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234344004134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282593828114208).

234344004134320 is an abundant number, since it is smaller than the sum of its proper divisors (330843652094096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234344004134320 is a wasteful number, since it uses less digits than its factorization.

234344004134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501239 (or 501233 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 234344004134320 its reverse (23431400443432), we get a palindrome (257775404577752).

The spelling of 234344004134320 in words is "two hundred thirty-four trillion, three hundred forty-four billion, four million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 107 148 185 214 296 370 428 535 592 740 856 1070 1480 1481 1712 2140 2960 2962 3959 4280 5924 7405 7918 8560 11848 14810 15836 19795 23696 29620 31672 39590 54797 59240 63344 79180 109594 118480 158360 158467 219188 273985 316720 316934 438376 499601 547970 633868 792335 876752 999202 1095940 1267736 1584670 1998404 2191880 2498005 2535472 3169340 3996808 4383760 4996010 5863279 6338680 7993616 9992020 11726558 12677360 18485237 19984040 23453116 29316395 36970474 39968080 46906232 53457307 58632790 73940948 92426185 93812464 106914614 117265580 147881896 184852370 213829228 234531160 267286535 295763792 369704740 427658456 469062320 534573070 739409480 739909081 855316912 1069146140 1478818960 1479818162 1977920359 2138292280 2959636324 3699545405 3955840718 4276584560 5919272648 7399090810 7911681436 9889601795 11838545296 14798181620 15823362872 19779203590 27376635997 29596363240 31646725744 39558407180 54753271994 59192726480 79116814360 79170271667 109506543988 136883179985 158233628720 158340543334 219013087976 273766359970 316681086668 395851358335 438026175952 547532719940 633362173336 791702716670 1095065439880 1266724346672 1583405433340 2190130879760 2929300051679 3166810866680 5858600103358 6333621733360 11717200206716 14646500258395 23434400413432 29293000516790 46868800826864 58586001033580 117172002067160 234344004134320