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330385632 = 25329118673
BaseRepresentation
bin10011101100010…
…100100011100000
3212000200022212220
4103230110203200
51134034320012
652441151040
711121142263
oct2354244340
9760608786
10330385632
1115a548685
129278b480
13535a9475
1431c42cda
151e01208c
hex13b148e0

330385632 has 48 divisors (see below), whose sum is σ = 897175440. Its totient is φ = 106330112.

The previous prime is 330385621. The next prime is 330385637. The reversal of 330385632 is 236583033.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 330385593 and 330385602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330385637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56553 + ... + 62120.

It is an arithmetic number, because the mean of its divisors is an integer number (18691155).

Almost surely, 2330385632 is an apocalyptic number.

330385632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330385632 is an abundant number, since it is smaller than the sum of its proper divisors (566789808).

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

330385632 is a wasteful number, since it uses less digits than its factorization.

330385632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118715 (or 118707 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 330385632 is about 18176.5131969803. The cubic root of 330385632 is about 691.3113980477.

The spelling of 330385632 in words is "three hundred thirty million, three hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 118673 237346 356019 474692 712038 949384 1424076 1898768 2848152 3441517 3797536 5696304 6883034 10324551 11392608 13766068 20649102 27532136 41298204 55064272 82596408 110128544 165192816 330385632