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331693656 = 233719110337
BaseRepresentation
bin10011110001010…
…011111001011000
3212010010210011020
4103301103321120
51134403144111
652525202440
711135230620
oct2361237130
9763123136
10331693656
11160261398
1293100420
1353946948
14320a3880
151e1be906
hex13c53e58

331693656 has 64 divisors (see below), whose sum is σ = 952750080. Its totient is φ = 94264320.

The previous prime is 331693651. The next prime is 331693657. The reversal of 331693656 is 656396133.

It is a super-2 number, since 2×3316936562 = 220041362861292672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331693651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26920 + ... + 37256.

It is an arithmetic number, because the mean of its divisors is an integer number (14886720).

Almost surely, 2331693656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331693656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476375040).

331693656 is an abundant number, since it is smaller than the sum of its proper divisors (621056424).

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

331693656 is a wasteful number, since it uses less digits than its factorization.

331693656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10540 counting only the distinct ones).

The product of its digits is 262440, while the sum is 42.

The square root of 331693656 is about 18212.4588125821. The cubic root of 331693656 is about 692.2225163435. Note that the first 3 decimals are identical.

The spelling of 331693656 in words is "three hundred thirty-one million, six hundred ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 1146 1337 1528 2292 2674 4011 4584 5348 8022 10337 10696 16044 20674 31011 32088 41348 62022 72359 82696 124044 144718 217077 248088 289436 434154 578872 868308 1736616 1974367 3948734 5923101 7897468 11846202 13820569 15794936 23692404 27641138 41461707 47384808 55282276 82923414 110564552 165846828 331693656