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340052688 = 24334173263
BaseRepresentation
bin10100010001001…
…100101011010000
3212200212110121000
4110101030223100
51144023141223
653424302000
711266254153
oct2421145320
9780773530
10340052688
11164a50688
1295a71900
13555b2611
143323bc9a
151ecc1543
hex1444cad0

340052688 has 160 divisors (see below), whose sum is σ = 1017434880. Its totient is φ = 108656640.

The previous prime is 340052663. The next prime is 340052689. The reversal of 340052688 is 886250043.

340052688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340052689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292845 + ... + 1293107.

It is an arithmetic number, because the mean of its divisors is an integer number (6358968).

Almost surely, 2340052688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340052688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508717440).

340052688 is an abundant number, since it is smaller than the sum of its proper divisors (677382192).

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

340052688 is a wasteful number, since it uses less digits than its factorization.

340052688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 340052688 is about 18440.5175632356. The cubic root of 340052688 is about 697.9892555331.

The spelling of 340052688 in words is "three hundred forty million, fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 73 82 108 123 144 146 164 216 219 246 263 292 328 369 432 438 492 526 584 656 657 738 789 876 984 1052 1107 1168 1314 1476 1578 1752 1968 1971 2104 2214 2367 2628 2952 2993 3156 3504 3942 4208 4428 4734 5256 5904 5986 6312 7101 7884 8856 8979 9468 10512 10783 11972 12624 14202 15768 17712 17958 18936 19199 21566 23944 26937 28404 31536 32349 35916 37872 38398 43132 47888 53874 56808 57597 64698 71832 76796 80811 86264 97047 107748 113616 115194 129396 143664 153592 161622 172528 172791 194094 215496 230388 258792 291141 307184 323244 345582 388188 430992 460776 517584 518373 582282 646488 691164 776376 787159 921552 1036746 1164564 1292976 1382328 1552752 1574318 2073492 2329128 2361477 2764656 3148636 4146984 4658256 4722954 6297272 7084431 8293968 9445908 12594544 14168862 18891816 21253293 28337724 37783632 42506586 56675448 85013172 113350896 170026344 340052688