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401350312 = 231141173643
BaseRepresentation
bin10111111011000…
…001111010101000
31000222012201010101
4113323001322220
51310221202222
6103454155144
712642264346
oct2773017250
91028181111
10401350312
11196608480
12b24b2ab4
13651c50bc
143b436996
152537d927
hex17ec1ea8

401350312 has 64 divisors (see below), whose sum is σ = 847143360. Its totient is φ = 176678400.

The previous prime is 401350307. The next prime is 401350351. The reversal of 401350312 is 213053104.

It is a super-2 number, since 2×4013503122 = 322164145884994688, 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 401350312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623863 + ... + 624505.

It is an arithmetic number, because the mean of its divisors is an integer number (13236615).

Almost surely, 2401350312 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 401350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423571680).

401350312 is an abundant number, since it is smaller than the sum of its proper divisors (445793048).

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

401350312 is a wasteful number, since it uses less digits than its factorization.

401350312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 401350312 is about 20033.7293582598. The cubic root of 401350312 is about 737.6344671791.

The spelling of 401350312 in words is "four hundred one million, three hundred fifty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 173 328 346 451 643 692 902 1286 1384 1804 1903 2572 3608 3806 5144 7073 7093 7612 14146 14186 15224 26363 28292 28372 52726 56584 56744 78023 105452 111239 156046 210904 222478 289993 312092 444956 579986 624184 889912 1159972 1223629 2319944 2447258 4560799 4894516 9121598 9789032 18243196 36486392 50168789 100337578 200675156 401350312