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336795904 = 28312372
BaseRepresentation
bin10100000100110…
…001100100000000
3212110202000010101
4110010301210000
51142204432104
653230412144
711226501154
oct2404614400
9773660111
10336795904
11163126825
1294961054
1354a12123
1432a31064
151e87b5a4
hex14131900

336795904 has 81 divisors (see below), whose sum is σ = 713944161. Its totient is φ = 158561280.

The previous prime is 336795887. The next prime is 336795911. The reversal of 336795904 is 409597633.

The square root of 336795904 is 18352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 301369600 + 35426304 = 17360^2 + 5952^2 .

It is a super-2 number, since 2×3367959042 = 226862961902354432, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9102574 + ... + 9102610.

Almost surely, 2336795904 is an apocalyptic number.

336795904 is the 18352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336795904

336795904 is an abundant number, since it is smaller than the sum of its proper divisors (377148257).

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

336795904 is an frugal number, since it uses more digits than its factorization.

336795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The cubic root of 336795904 is about 695.7538214221.

The spelling of 336795904 in words is "three hundred thirty-six million, seven hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 592 961 992 1147 1184 1369 1922 1984 2294 2368 2738 3844 3968 4588 4736 5476 7688 7936 9176 9472 10952 15376 18352 21904 30752 35557 36704 42439 43808 61504 71114 73408 84878 87616 123008 142228 146816 169756 175232 246016 284456 293632 339512 350464 568912 679024 1137824 1315609 1358048 2275648 2631218 2716096 4551296 5262436 5432192 9102592 10524872 10864384 21049744 42099488 84198976 168397952 336795904