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398364012 = 223231491727
BaseRepresentation
bin10111101111101…
…000110101101100
31000202120222200200
4113233220311230
51303440122022
6103310153500
712605016054
oct2757506554
91022528620
10398364012
11194958862
12b14b2890
13646baa67
143ac9a564
1524e8dbac
hex17be8d6c

398364012 has 72 divisors (see below), whose sum is σ = 1043008512. Its totient is φ = 128066400.

The previous prime is 398364007. The next prime is 398364019. The reversal of 398364012 is 210463893.

398364012 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 640 + 1 + 2 = 666.

It is a super-2 number, since 2×3983640122 = 317387772113472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (398364019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547593 + ... + 548319.

Almost surely, 2398364012 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 398364012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521504256).

398364012 is an abundant number, since it is smaller than the sum of its proper divisors (644644500).

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

398364012 is a wasteful number, since it uses less digits than its factorization.

398364012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 398364012 is about 19959.0583946237. The cubic root of 398364012 is about 735.8004219219.

The spelling of 398364012 in words is "three hundred ninety-eight million, three hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 491 558 727 982 1116 1454 1473 1964 2181 2908 2946 4362 4419 5892 6543 8724 8838 13086 15221 17676 22537 26172 30442 45074 45663 60884 67611 90148 91326 135222 136989 182652 202833 270444 273978 356957 405666 547956 713914 811332 1070871 1427828 2141742 3212613 4283484 6425226 11065667 12850452 22131334 33197001 44262668 66394002 99591003 132788004 199182006 398364012