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397933137 = 32743146893
BaseRepresentation
bin10111101101111…
…111101001010001
31000201210002122100
4113231333221101
51303332330022
6103253031013
712601242630
oct2755775121
91021702570
10397933137
11194694068
12b1325469
13645998c4
143abc7517
1524e061ac
hex17b7fa51

397933137 has 24 divisors (see below), whose sum is σ = 672186944. Its totient is φ = 222100704.

The previous prime is 397933117. The next prime is 397933163. The reversal of 397933137 is 731339793.

It is not a de Polignac number, because 397933137 - 27 = 397933009 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 397933092 and 397933101.

It is not an unprimeable number, because it can be changed into a prime (397933117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70738 + ... + 76155.

Almost surely, 2397933137 is an apocalyptic number.

It is an amenable number.

397933137 is a deficient number, since it is larger than the sum of its proper divisors (274253807).

397933137 is a wasteful number, since it uses less digits than its factorization.

397933137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146949 (or 146946 counting only the distinct ones).

The product of its digits is 321489, while the sum is 45.

The square root of 397933137 is about 19948.2615031987. The cubic root of 397933137 is about 735.5350428800.

The spelling of 397933137 in words is "three hundred ninety-seven million, nine hundred thirty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 146893 440679 1028251 1322037 3084753 6316399 9254259 18949197 44214793 56847591 132644379 397933137