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404366368 = 2572297883
BaseRepresentation
bin11000000110100…
…010010000100000
31001011212221101011
4120012202100200
51312004210433
6104042550304
713010025460
oct3006422040
91034787334
10404366368
1119828848a
12b3508394
1365a0cb53
143b9bdba0
15257773cd
hex181a2420

404366368 has 48 divisors (see below), whose sum is σ = 913913280. Its totient is φ = 172521216.

The previous prime is 404366363. The next prime is 404366383. The reversal of 404366368 is 863663404.

It is a super-2 number, since 2×4043663682 = 327024319139022848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404366368.

It is not an unprimeable number, because it can be changed into a prime (404366363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47355 + ... + 55237.

It is an arithmetic number, because the mean of its divisors is an integer number (19039860).

Almost surely, 2404366368 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 404366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456956640).

404366368 is an abundant number, since it is smaller than the sum of its proper divisors (509546912).

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

404366368 is a wasteful number, since it uses less digits than its factorization.

404366368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 404366368 is about 20108.8629216075. The cubic root of 404366368 is about 739.4775762391.

The spelling of 404366368 in words is "four hundred four million, three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 229 458 916 1603 1832 3206 3664 6412 7328 7883 12824 15766 25648 31532 51296 55181 63064 110362 126128 220724 252256 441448 882896 1765792 1805207 3610414 7220828 12636449 14441656 25272898 28883312 50545796 57766624 101091592 202183184 404366368