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412630336 = 263126709
BaseRepresentation
bin11000100110000…
…011110101000000
31001202102210102001
4120212003311000
51321113132321
6104540033344
713140204616
oct3046036500
91052383361
10412630336
111a1a12308
12b6232854
1367644481
143cb316b6
152635ac91
hex18983d40

412630336 has 42 divisors (see below), whose sum is σ = 846204810. Its totient is φ = 199630080.

The previous prime is 412630321. The next prime is 412630363. The reversal of 412630336 is 633036214.

It can be written as a sum of positive squares in only one way, i.e., 374190336 + 38440000 = 19344^2 + 6200^2 .

It is a super-4 number, since 4×4126303364 (a number of 36 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 58150 + ... + 64858.

Almost surely, 2412630336 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 412630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423102405).

412630336 is an abundant number, since it is smaller than the sum of its proper divisors (433574474).

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

412630336 is an equidigital number, since it uses as much as digits as its factorization.

412630336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 412630336 is about 20313.3044086874. The cubic root of 412630336 is about 744.4811702252.

The spelling of 412630336 in words is "four hundred twelve million, six hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 6709 7688 13418 15376 26836 30752 53672 61504 107344 207979 214688 415958 429376 831916 1663832 3327664 6447349 6655328 12894698 13310656 25789396 51578792 103157584 206315168 412630336