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331680363 = 3724761787
BaseRepresentation
bin10011110001010…
…000101001101011
3212010010002220220
4103301100221223
51134402232423
652525021123
711135144100
oct2361205153
9763102826
10331680363
11160252403
12930b47a3
1353940891
143209caa7
151e1ba9e3
hex13c50a6b

331680363 has 48 divisors (see below), whose sum is σ = 534680064. Its totient is φ = 182226240.

The previous prime is 331680331. The next prime is 331680379. The reversal of 331680363 is 363086133.

It is not a de Polignac number, because 331680363 - 25 = 331680331 is a prime.

It is a super-2 number, since 2×3316803632 = 220023726399623538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331682363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421056 + ... + 421842.

It is an arithmetic number, because the mean of its divisors is an integer number (11139168).

Almost surely, 2331680363 is an apocalyptic number.

331680363 is a deficient number, since it is larger than the sum of its proper divisors (202999701).

331680363 is a wasteful number, since it uses less digits than its factorization.

331680363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 331680363 is about 18212.0938664394. The cubic root of 331680363 is about 692.2132690188.

The spelling of 331680363 in words is "three hundred thirty-one million, six hundred eighty thousand, three hundred sixty-three".

Divisors: 1 3 7 21 47 49 61 141 147 183 329 427 787 987 1281 2303 2361 2867 2989 5509 6909 8601 8967 16527 20069 36989 38563 48007 60207 110967 115689 140483 144021 258923 336049 421449 776769 1008147 1812461 2256329 2352343 5437383 6768987 7057029 15794303 47382909 110560121 331680363