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3289251904 = 266721072
BaseRepresentation
bin1100010000001110…
…0000000001000000
322111020022022100121
43010003200001000
523214022030104
61302220030024
7144340115461
oct30403400100
98436268317
103289251904
111438773704
12779692314
134055bb103
14232bbcd68
15143b7d254
hexc40e0040

3289251904 has 63 divisors (see below), whose sum is σ = 6688486623. Its totient is φ = 1604938368.

The previous prime is 3289251887. The next prime is 3289251923. The reversal of 3289251904 is 4091529823.

The square root of 3289251904 is 57352.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30740619 + ... + 30740725.

Almost surely, 23289251904 is an apocalyptic number.

3289251904 is the 57352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3289251904

3289251904 is an abundant number, since it is smaller than the sum of its proper divisors (3399234719).

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

3289251904 is an frugal number, since it uses more digits than its factorization.

3289251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The cubic root of 3289251904 is about 1487.1874489990.

The spelling of 3289251904 in words is "three billion, two hundred eighty-nine million, two hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 67 107 134 214 268 428 536 856 1072 1712 2144 3424 4288 4489 6848 7169 8978 11449 14338 17956 22898 28676 35912 45796 57352 71824 91592 114704 143648 183184 229408 287296 366368 458816 480323 732736 767083 960646 1534166 1921292 3068332 3842584 6136664 7685168 12273328 15370336 24546656 30740672 49093312 51394561 102789122 205578244 411156488 822312976 1644625952 3289251904