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397585664 = 2871731421
BaseRepresentation
bin10111101100101…
…010110100000000
31000201010102222222
4113230222310000
51303240220124
6103241350212
712565264610
oct2754526400
91021112888
10397585664
11194476aa3
12b1198368
13644a76b8
143ab36a40
1524d8825e
hex17b2ad00

397585664 has 144 divisors (see below), whose sum is σ = 993678336. Its totient is φ = 154828800.

The previous prime is 397585649. The next prime is 397585673. The reversal of 397585664 is 466585793.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944174 + ... + 944594.

It is an arithmetic number, because the mean of its divisors is an integer number (6900544).

Almost surely, 2397585664 is an apocalyptic number.

397585664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496839168).

397585664 is an abundant number, since it is smaller than the sum of its proper divisors (596092672).

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

397585664 is a wasteful number, since it uses less digits than its factorization.

397585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The square root of 397585664 is about 19939.5502456801. The cubic root of 397585664 is about 735.3208921679.

The spelling of 397585664 in words is "three hundred ninety-seven million, five hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 421 434 448 476 496 527 544 842 868 896 952 992 1054 1088 1684 1736 1792 1904 1984 2108 2176 2947 3368 3472 3689 3808 3968 4216 4352 5894 6736 6944 7157 7378 7616 7936 8432 11788 13051 13472 13888 14314 14756 15232 16864 23576 26102 26944 27776 28628 29512 30464 33728 47152 50099 52204 53888 55552 57256 59024 67456 91357 94304 100198 104408 107776 114512 118048 134912 182714 188608 200396 208816 221867 229024 236096 365428 377216 400792 417632 443734 458048 472192 730856 754432 801584 835264 887468 916096 944384 1461712 1553069 1603168 1670528 1774936 1832192 2923424 3106138 3206336 3341056 3549872 5846848 6212276 6412672 7099744 11693696 12424552 12825344 14199488 23387392 24849104 28398976 49698208 56797952 99396416 198792832 397585664