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234556406032 = 24132412115713
BaseRepresentation
bin1101101001110010100…
…1101011100100010000
3211102102122020222220111
43122130221223210100
512320332414443112
6255430445451104
722642345361314
oct3323451534420
9742378228814
10234556406032
1190524a81553
1239560570a94
1319170679c00
14b4d1719b44
15617c0ce5a7
hex369ca6b910

234556406032 has 60 divisors (see below), whose sum is σ = 504102711924. Its totient is φ = 105616343040.

The previous prime is 234556406017. The next prime is 234556406039. The reversal of 234556406032 is 230604655432.

It can be written as a sum of positive squares in 6 ways, for example, as 32574474256 + 201981931776 = 180484^2 + 449424^2 .

It is a super-2 number, since 2×2345564060322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234556406039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946993 + ... + 1168720.

Almost surely, 2234556406032 is an apocalyptic number.

It is an amenable number.

234556406032 is an abundant number, since it is smaller than the sum of its proper divisors (269546305892).

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

234556406032 is a wasteful number, since it uses less digits than its factorization.

234556406032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115788 (or 2115769 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 234556406032 in words is "two hundred thirty-four billion, five hundred fifty-six million, four hundred six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 208 328 338 533 656 676 1066 1352 2132 2704 4264 6929 8528 13858 27716 55432 110864 2115713 4231426 8462852 16925704 27504269 33851408 55008538 86744233 110017076 173488466 220034152 346976932 357555497 440068304 693953864 715110994 1127675029 1387907728 1430221988 2255350058 2860443976 4510700116 5720887952 9021400232 14659775377 18042800464 29319550754 58639101508 117278203016 234556406032