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398037312 = 2632691037
BaseRepresentation
bin10111101110011…
…001000101000000
31000201222101112200
4113232121011000
51303344143222
6103255153200
712602155431
oct2756310500
91021871480
10398037312
11194755362
12b1375800
136460514a
143ac13488
1524e26eac
hex17b99140

398037312 has 42 divisors (see below), whose sum is σ = 1140903738. Its totient is φ = 132678912.

The previous prime is 398037293. The next prime is 398037317. The reversal of 398037312 is 213730893.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 289544256 + 108493056 = 17016^2 + 10416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398037317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 344943 + ... + 346094.

Almost surely, 2398037312 is an apocalyptic number.

398037312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

398037312 is an abundant number, since it is smaller than the sum of its proper divisors (742866426).

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

398037312 is a wasteful number, since it uses less digits than its factorization.

398037312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691055 (or 691042 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 398037312 is about 19950.8724621256. The cubic root of 398037312 is about 735.5992225712.

The spelling of 398037312 in words is "three hundred ninety-eight million, thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 691037 1382074 2073111 2764148 4146222 5528296 6219333 8292444 11056592 12438666 16584888 22113184 24877332 33169776 44226368 49754664 66339552 99509328 132679104 199018656 398037312