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396000693 = 32112794603
BaseRepresentation
bin10111100110100…
…111110110110101
31000121010220211100
4113212213312311
51302334010233
6103143400313
712545643654
oct2746476665
91017126740
10396000693
11193594200
12b0753099
136407114a
143a84319b
1524b73813
hex179a7db5

396000693 has 36 divisors (see below), whose sum is σ = 636825280. Its totient is φ = 236910960.

The previous prime is 396000623. The next prime is 396000739.

396000693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 396000693 - 216 = 395935157 is a prime.

It is a Duffinian number.

396000693 is a modest number, since divided by 693 gives 396 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396000613) 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 35 ways as a sum of consecutive naturals, for example, 83730 + ... + 88332.

Almost surely, 2396000693 is an apocalyptic number.

396000693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

396000693 is a deficient number, since it is larger than the sum of its proper divisors (240824587).

396000693 is a wasteful number, since it uses less digits than its factorization.

396000693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 396000693 is about 19899.7661544049. The cubic root of 396000693 is about 734.3424745709.

It can be divided in two parts, 396000 and 693, that added together give a palindrome (396693).

The spelling of 396000693 in words is "three hundred ninety-six million, six hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 11 33 79 99 121 237 363 711 869 1089 2607 4603 7821 9559 13809 28677 41427 50633 86031 151899 363637 455697 556963 1090911 1670889 3272733 4000007 5012667 12000021 36000063 44000077 132000231 396000693