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397596672 = 21132113753
BaseRepresentation
bin10111101100101…
…101100000000000
31000201011000002200
4113230231200000
51303241043142
6103241513200
712565341654
oct2754554000
91021130080
10397596672
111944842a0
12b11a2800
13644ac705
143ab3aa64
1524d8b64c
hex17b2d800

397596672 has 288 divisors, whose sum is σ = 1310858640. Its totient is φ = 115015680.

The previous prime is 397596649. The next prime is 397596677. The reversal of 397596672 is 276695793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3975966722 = 316166227170951168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397596677) 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, 7501798 + ... + 7501850.

Almost surely, 2397596672 is an apocalyptic number.

397596672 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 397596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655429320).

397596672 is an abundant number, since it is smaller than the sum of its proper divisors (913261968).

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

397596672 is a wasteful number, since it uses less digits than its factorization.

397596672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 397596672 is about 19939.8262780798. The cubic root of 397596672 is about 735.3276784099.

The spelling of 397596672 in words is "three hundred ninety-seven million, five hundred ninety-six thousand, six hundred seventy-two".