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330885630 = 232531233509
BaseRepresentation
bin10011101110001…
…110100111111110
3212001121201202100
4103232032213332
51134201320010
652500005530
711125324065
oct2356164776
9761551670
10330885630
1115a85a2a9
12929908a6
1353722c1a
1431d331dc
151e0b02c0
hex13b8e9fe

330885630 has 96 divisors (see below), whose sum is σ = 893617920. Its totient is φ = 84856320.

The previous prime is 330885601. The next prime is 330885647. The reversal of 330885630 is 36588033.

330885630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649816 + ... + 650324.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2330885630 is an apocalyptic number.

330885630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330885630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446808960).

330885630 is an abundant number, since it is smaller than the sum of its proper divisors (562732290).

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

330885630 is a wasteful number, since it uses less digits than its factorization.

330885630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 330885630 is about 18190.2619552331. The cubic root of 330885630 is about 691.6599605163.

The spelling of 330885630 in words is "three hundred thirty million, eight hundred eighty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 233 279 310 465 466 509 558 699 930 1018 1165 1395 1398 1527 2097 2330 2545 2790 3054 3495 4194 4581 5090 6990 7223 7635 9162 10485 14446 15270 15779 20970 21669 22905 31558 36115 43338 45810 47337 65007 72230 78895 94674 108345 118597 130014 142011 157790 216690 236685 237194 284022 325035 355791 473370 592985 650070 710055 711582 1067373 1185970 1420110 1778955 2134746 3557910 3676507 5336865 7353014 10673730 11029521 18382535 22059042 33088563 36765070 55147605 66177126 110295210 165442815 330885630