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328670496 = 253271114821
BaseRepresentation
bin10011100101110…
…001110100100000
3211220110012011100
4103211301310200
51133114423441
652340314400
711100440010
oct2345616440
9756405140
10328670496
11159587010
12920a2a00
13531288ab
1431917c40
151dcc3cb6
hex13971d20

328670496 has 144 divisors (see below), whose sum is σ = 1165364928. Its totient is φ = 85363200.

The previous prime is 328670491. The next prime is 328670567. The reversal of 328670496 is 694076823.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (328670491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14766 + ... + 29586.

It is an arithmetic number, because the mean of its divisors is an integer number (8092812).

Almost surely, 2328670496 is an apocalyptic number.

328670496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582682464).

328670496 is an abundant number, since it is smaller than the sum of its proper divisors (836694432).

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

328670496 is a wasteful number, since it uses less digits than its factorization.

328670496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14844 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 328670496 is about 18129.2718000476. The cubic root of 328670496 is about 690.1130501598.

The spelling of 328670496 in words is "three hundred twenty-eight million, six hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 14821 22176 29642 44463 59284 88926 103747 118568 133389 163031 177852 207494 237136 266778 311241 326062 355704 414988 474272 489093 533556 622482 652124 711408 829976 933723 978186 1067112 1141217 1244964 1304248 1422816 1467279 1659952 1867446 1956372 2134224 2282434 2489928 2608496 2934558 3319904 3423651 3734892 3912744 4268448 4564868 4979856 5216992 5869116 6847302 7469784 7825488 9129736 9959712 10270953 11738232 13694604 14939568 15650976 18259472 20541906 23476464 27389208 29879136 36518944 41083812 46952928 54778416 82167624 109556832 164335248 328670496