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341721072 = 243371110273
BaseRepresentation
bin10100010111100…
…011111111110000
3212211000020012000
4110113203333300
51144440033242
653524134000
711316403230
oct2427437760
9784006160
10341721072
11165990110
1296537300
1355a47b24
1433553cc0
1520000a4c
hex145e3ff0

341721072 has 160 divisors (see below), whose sum is σ = 1223016960. Its totient is φ = 88750080.

The previous prime is 341721053. The next prime is 341721073. The reversal of 341721072 is 270127143.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341721073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28128 + ... + 38400.

It is an arithmetic number, because the mean of its divisors is an integer number (7643856).

Almost surely, 2341721072 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 341721072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611508480).

341721072 is an abundant number, since it is smaller than the sum of its proper divisors (881295888).

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

341721072 is a wasteful number, since it uses less digits than its factorization.

341721072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 341721072 is about 18485.6991212126. The cubic root of 341721072 is about 699.1288973738.

The spelling of 341721072 in words is "three hundred forty-one million, seven hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 10273 11088 16632 20546 30819 33264 41092 61638 71911 82184 92457 113003 123276 143822 164368 184914 215733 226006 246552 277371 287644 339009 369828 431466 452012 493104 554742 575288 647199 678018 739656 791021 862932 904024 1017027 1109484 1150576 1294398 1356036 1479312 1582042 1725864 1808048 1941597 2034054 2218968 2373063 2588796 2712072 3051081 3164084 3451728 3883194 4068108 4437936 4746126 5177592 5424144 6102162 6328168 7119189 7766388 8136216 9492252 10355184 12204324 12656336 14238378 15532776 16272432 18984504 21357567 24408648 28476756 31065552 37969008 42715134 48817296 56953512 85430268 113907024 170860536 341721072