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2327905404 = 22321117220341
BaseRepresentation
bin1000101011000001…
…0000010001111100
320000020100211212200
42022300100101330
514231420433104
61022555031500
7111454604136
oct21260202174
96006324780
102327905404
11a95050870
1254b73b590
132b1395926
14181254056
15d9584b39
hex8ac1047c

2327905404 has 108 divisors (see below), whose sum is σ = 6819533448. Its totient is φ = 663897600.

The previous prime is 2327905381. The next prime is 2327905409. The reversal of 2327905404 is 4045097232.

2327905404 is a `hidden beast` number, since 2 + 3 + 27 + 90 + 540 + 4 = 666.

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 (2327905409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104274 + ... + 124614.

Almost surely, 22327905404 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 2327905404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409766724).

2327905404 is an abundant number, since it is smaller than the sum of its proper divisors (4491628044).

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

2327905404 is a wasteful number, since it uses less digits than its factorization.

2327905404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20396 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2327905404 is about 48248.3720347122. The cubic root of 2327905404 is about 1325.3231259400.

The spelling of 2327905404 in words is "two billion, three hundred twenty-seven million, nine hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 20341 28611 38148 40682 57222 61023 81364 114444 122046 183069 223751 244092 345797 366138 447502 671253 691594 732276 895004 1037391 1342506 1383188 2013759 2074782 2685012 3112173 3803767 4027518 4149564 5878549 6224346 7607534 8055036 11411301 11757098 12448692 15215068 17635647 22822602 23514196 34233903 35271294 45645204 52906941 64664039 68467806 70542588 105813882 129328078 136935612 193992117 211627764 258656156 387984234 581976351 775968468 1163952702 2327905404