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330056076 = 223729157863
BaseRepresentation
bin10011101011000…
…100000110001100
3212000001120211010
4103223010012030
51133443243301
652430125220
711115300420
oct2353040614
9760046733
10330056076
1115a343019
1292650810
13534c246c
1431b98b80
151de995d6
hex13ac418c

330056076 has 96 divisors (see below), whose sum is σ = 917360640. Its totient is φ = 90365184.

The previous prime is 330056063. The next prime is 330056081. The reversal of 330056076 is 670650033.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382021 + ... + 382883.

It is an arithmetic number, because the mean of its divisors is an integer number (9555840).

Almost surely, 2330056076 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 330056076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458680320).

330056076 is an abundant number, since it is smaller than the sum of its proper divisors (587304564).

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

330056076 is a wasteful number, since it uses less digits than its factorization.

330056076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 330056076 is about 18167.4455001247. The cubic root of 330056076 is about 691.0814630966.

The spelling of 330056076 in words is "three hundred thirty million, fifty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 157 174 203 314 348 406 471 609 628 812 863 942 1099 1218 1726 1884 2198 2436 2589 3297 3452 4396 4553 5178 6041 6594 9106 10356 12082 13188 13659 18123 18212 24164 25027 27318 31871 36246 50054 54636 63742 72492 75081 95613 100108 127484 135491 150162 175189 191226 270982 300324 350378 382452 406473 525567 541964 700756 812946 948437 1051134 1625892 1896874 2102268 2845311 3793748 3929239 5690622 7858478 11381244 11787717 15716956 23575434 27504673 47150868 55009346 82514019 110018692 165028038 330056076