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397842432 = 21131317293
BaseRepresentation
bin10111101101101…
…001100000000000
31000201121111012220
4113231221200000
51303321424212
6103251051040
712600414321
oct2755514000
91021544186
10397842432
111946319a9
12b12a0a80
1364567530
143aba2448
1524dd938c
hex17b69800

397842432 has 192 divisors, whose sum is σ = 1213561440. Its totient is φ = 114819072.

The previous prime is 397842397. The next prime is 397842443. The reversal of 397842432 is 234248793.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 1357678 + ... + 1357970.

Almost surely, 2397842432 is an apocalyptic number.

397842432 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 397842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606780720).

397842432 is an abundant number, since it is smaller than the sum of its proper divisors (815719008).

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

397842432 is a wasteful number, since it uses less digits than its factorization.

397842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 397842432 is about 19945.9878672379. The cubic root of 397842432 is about 735.4791526063.

The spelling of 397842432 in words is "three hundred ninety-seven million, eight hundred forty-two thousand, four hundred thirty-two".