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332160680 = 23541337601
BaseRepresentation
bin10011110011000…
…101111010101000
3212011000111210102
4103303011322220
51140013120210
652543204532
711142214325
oct2363057250
9764014712
10332160680
11160550265
12932a6748
1353a7b3a7
1432185b4c
151e262ea5
hex13cc5ea8

332160680 has 64 divisors (see below), whose sum is σ = 769139280. Its totient is φ = 129024000.

The previous prime is 332160667. The next prime is 332160713. The reversal of 332160680 is 86061233.

It can be written as a sum of positive squares in 8 ways, for example, as 76352644 + 255808036 = 8738^2 + 15994^2 .

It is a super-2 number, since 2×3321606802 = 220661434676124800, which contains 22 as substring.

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, 552380 + ... + 552980.

Almost surely, 2332160680 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 332160680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384569640).

332160680 is an abundant number, since it is smaller than the sum of its proper divisors (436978600).

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

332160680 is a wasteful number, since it uses less digits than its factorization.

332160680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 332160680 is about 18225.2758552511. The cubic root of 332160680 is about 692.5472466212.

The spelling of 332160680 in words is "three hundred thirty-two million, one hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 337 410 601 674 820 1202 1348 1640 1685 2404 2696 3005 3370 4808 6010 6740 12020 13480 13817 24040 24641 27634 49282 55268 69085 98564 110536 123205 138170 197128 202537 246410 276340 405074 492820 552680 810148 985640 1012685 1620296 2025370 4050740 8101480 8304017 16608034 33216068 41520085 66432136 83040170 166080340 332160680