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330671424 = 26371127191
BaseRepresentation
bin10011101101011…
…010010101000000
3212001012211220210
4103231122111000
51134122441144
652451234120
711123442426
oct2355322500
9761184823
10330671424
1115a723376
12928a8940
1353679585
1431cb9116
151e06bab9
hex13b5a540

330671424 has 112 divisors (see below), whose sum is σ = 898891776. Its totient is φ = 107251200.

The previous prime is 330671413. The next prime is 330671441. The reversal of 330671424 is 424176033.

It is a junction number, because it is equal to n+sod(n) for n = 330671391 and 330671400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731169 + ... + 1731359.

Almost surely, 2330671424 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 330671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449445888).

330671424 is an abundant number, since it is smaller than the sum of its proper divisors (568220352).

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

330671424 is a wasteful number, since it uses less digits than its factorization.

330671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 330671424 is about 18184.3730714039. The cubic root of 330671424 is about 691.5106745973.

The spelling of 330671424 in words is "three hundred thirty million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 127 142 191 192 213 254 284 381 382 426 508 568 573 762 764 852 1016 1136 1146 1524 1528 1704 2032 2272 2292 3048 3056 3408 4064 4544 4584 6096 6112 6816 8128 9017 9168 12192 12224 13561 13632 18034 18336 24257 24384 27051 27122 36068 36672 40683 48514 54102 54244 72136 72771 81366 97028 108204 108488 144272 145542 162732 194056 216408 216976 288544 291084 325464 388112 432816 433952 577088 582168 650928 776224 865632 867904 1164336 1301856 1552448 1722247 1731264 2328672 2603712 3444494 4657344 5166741 6888988 10333482 13777976 20666964 27555952 41333928 55111904 82667856 110223808 165335712 330671424