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397931904 = 27322231549
BaseRepresentation
bin10111101101111…
…111010110000000
31000201210000221200
4113231333112000
51303332310104
6103253021200
712601236216
oct2755772600
91021700850
10397931904
11194693147
12b1324800
1364599186
143abc6cb6
1524e05b39
hex17b7f580

397931904 has 96 divisors (see below), whose sum is σ = 1150968000. Its totient is φ = 131963904.

The previous prime is 397931899. The next prime is 397931917. The reversal of 397931904 is 409139793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 397931904.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 256122 + ... + 257670.

It is an arithmetic number, because the mean of its divisors is an integer number (11989250).

Almost surely, 2397931904 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 397931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575484000).

397931904 is an abundant number, since it is smaller than the sum of its proper divisors (753036096).

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

397931904 is a wasteful number, since it uses less digits than its factorization.

397931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 397931904 is about 19948.2305982260. The cubic root of 397931904 is about 735.5342831915.

The spelling of 397931904 in words is "three hundred ninety-seven million, nine hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 288 384 446 576 669 892 1152 1338 1549 1784 2007 2676 3098 3568 4014 4647 5352 6196 7136 8028 9294 10704 12392 13941 14272 16056 18588 21408 24784 27882 28544 32112 37176 42816 49568 55764 64224 74352 85632 99136 111528 128448 148704 198272 223056 256896 297408 345427 446112 594816 690854 892224 1036281 1381708 1784448 2072562 2763416 3108843 4145124 5526832 6217686 8290248 11053664 12435372 16580496 22107328 24870744 33160992 44214656 49741488 66321984 99482976 132643968 198965952 397931904