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3268948704 = 253711534219
BaseRepresentation
bin1100001011011000…
…0011001011100000
322102211002210121020
43002312003023200
523143322324304
61300212525440
7144002414460
oct30266031340
98384083536
103268948704
1114282665aa
12772920880
1340132c998
14230215ba0
15141ebc5d9
hexc2d832e0

3268948704 has 96 divisors (see below), whose sum is σ = 9817678080. Its totient is φ = 932954112.

The previous prime is 3268948699. The next prime is 3268948733. The reversal of 3268948704 is 4078498623.

It is a tau number, because it is divible by the number of its divisors (96).

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, 772707 + ... + 776925.

It is an arithmetic number, because the mean of its divisors is an integer number (102267480).

Almost surely, 23268948704 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 3268948704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908839040).

3268948704 is an abundant number, since it is smaller than the sum of its proper divisors (6548729376).

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

3268948704 is a wasteful number, since it uses less digits than its factorization.

3268948704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3268948704 is about 57174.7208475914. The cubic root of 3268948704 is about 1484.1211991403.

The spelling of 3268948704 in words is "three billion, two hundred sixty-eight million, nine hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1153 2306 3459 4219 4612 6918 8071 8438 9224 12657 13836 16142 16876 18448 24213 25314 27672 29533 32284 33752 36896 48426 50628 55344 59066 64568 67504 88599 96852 101256 110688 118132 129136 135008 177198 193704 202512 236264 258272 354396 387408 405024 472528 708792 774816 945056 1417584 2835168 4864507 9729014 14593521 19458028 29187042 34051549 38916056 58374084 68103098 77832112 102154647 116748168 136206196 155664224 204309294 233496336 272412392 408618588 466992672 544824784 817237176 1089649568 1634474352 3268948704