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397623808 = 295314653
BaseRepresentation
bin10111101100110…
…100001000000000
31000201012101022201
4113230310020000
51303242430213
6103242242544
712565514041
oct2754641000
91021171281
10397623808
111944a271a
12b11b6454
13644bbb7a
143ab468c8
1524d946dd
hex17b34200

397623808 has 40 divisors (see below), whose sum is σ = 809516268. Its totient is φ = 195047424.

The previous prime is 397623767. The next prime is 397623847. The reversal of 397623808 is 808326793.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 30824704 = 19152^2 + 5552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19810 + ... + 34462.

Almost surely, 2397623808 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 397623808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404758134).

397623808 is an abundant number, since it is smaller than the sum of its proper divisors (411892460).

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

397623808 is an equidigital number, since it uses as much as digits as its factorization.

397623808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14724 (or 14708 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 397623808 is about 19940.5067137222. The cubic root of 397623808 is about 735.3444067508.

The spelling of 397623808 in words is "three hundred ninety-seven million, six hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 13568 14653 27136 29306 58612 117224 234448 468896 776609 937792 1553218 1875584 3106436 3751168 6212872 7502336 12425744 24851488 49702976 99405952 198811904 397623808