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372398112 = 25327317713
BaseRepresentation
bin10110001100100…
…101100000100000
3221221201210011200
4112030211200200
51230313214422
6100541441200
712141221532
oct2614454040
9857653150
10372398112
11181233239
12a4870200
135c1c9018
143765b852
1522a602ac
hex16325820

372398112 has 72 divisors (see below), whose sum is σ = 1073574684. Its totient is φ = 122425344.

The previous prime is 372398111. The next prime is 372398123. The reversal of 372398112 is 211893273.

It can be written as a sum of positive squares in 2 ways, for example, as 340181136 + 32216976 = 18444^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (372398111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12168 + ... + 29880.

Almost surely, 2372398112 is an apocalyptic number.

372398112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536787342).

372398112 is an abundant number, since it is smaller than the sum of its proper divisors (701176572).

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

372398112 is a wasteful number, since it uses less digits than its factorization.

372398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17802 (or 17791 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 372398112 is about 19297.6193350372. The cubic root of 372398112 is about 719.4531032125.

The spelling of 372398112 in words is "three hundred seventy-two million, three hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 17713 21024 35426 53139 70852 106278 141704 159417 212556 283408 318834 425112 566816 637668 850224 1275336 1293049 1700448 2550672 2586098 3879147 5101344 5172196 7758294 10344392 11637441 15516588 20688784 23274882 31033176 41377568 46549764 62066352 93099528 124132704 186199056 372398112