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330861216 = 25371094517
BaseRepresentation
bin10011101110001…
…000101010100000
3212001120111021010
4103232020222200
51134200024331
652455300520
711125162650
oct2356105240
9761514233
10330861216
1115a842a24
129297a740
1353714a8a
1431d28360
151e0a7e46
hex13b88aa0

330861216 has 96 divisors (see below), whose sum is σ = 1001911680. Its totient is φ = 93643776.

The previous prime is 330861199. The next prime is 330861229. The reversal of 330861216 is 612168033.

It is a tau number, because it is divible by the number of its divisors (96).

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, 70990 + ... + 75506.

It is an arithmetic number, because the mean of its divisors is an integer number (10436580).

Almost surely, 2330861216 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 330861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500955840).

330861216 is an abundant number, since it is smaller than the sum of its proper divisors (671050464).

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

330861216 is a wasteful number, since it uses less digits than its factorization.

330861216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 330861216 is about 18189.5908695056. The cubic root of 330861216 is about 691.6429489972.

The spelling of 330861216 in words is "three hundred thirty million, eight hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4517 4578 5232 6104 9034 9156 10464 12208 13551 18068 18312 24416 27102 31619 36136 36624 54204 63238 72272 73248 94857 108408 126476 144544 189714 216816 252952 379428 433632 492353 505904 758856 984706 1011808 1477059 1517712 1969412 2954118 3035424 3446471 3938824 5908236 6892942 7877648 10339413 11816472 13785884 15755296 20678826 23632944 27571768 41357652 47265888 55143536 82715304 110287072 165430608 330861216