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3321908496 = 243416012
BaseRepresentation
bin1100011000000000…
…0100110100010000
322120111202102210000
43012000010310100
523300402032441
61305344010000
7145214520264
oct30600046420
98514672700
103321908496
111455149025
12788600900
1340c2b333a
142372800a4
1514697e2b6
hexc6004d10

3321908496 has 75 divisors (see below), whose sum is σ = 9620576053. Its totient is φ = 1106611200.

The previous prime is 3321908489. The next prime is 3321908531. The reversal of 3321908496 is 6948091233.

It is a happy number.

The square root of 3321908496 is 57636.

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

It can be written as a sum of positive squares in only one way, i.e., 3313614096 + 8294400 = 57564^2 + 2880^2 .

It is a super-2 number, since 2×33219084962 = 22070152111593964032, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2074096 + ... + 2075696.

Almost surely, 23321908496 is an apocalyptic number.

3321908496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3321908496 is the 57636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321908496

3321908496 is an abundant number, since it is smaller than the sum of its proper divisors (6298667557).

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

3321908496 is an frugal number, since it uses more digits than its factorization.

3321908496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 3321908496 is about 1492.0929846430.

The spelling of 3321908496 in words is "three billion, three hundred twenty-one million, nine hundred eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1601 3202 4803 6404 9606 12808 14409 19212 25616 28818 38424 43227 57636 76848 86454 115272 129681 172908 230544 259362 345816 518724 691632 1037448 2074896 2563201 5126402 7689603 10252804 15379206 20505608 23068809 30758412 41011216 46137618 61516824 69206427 92275236 123033648 138412854 184550472 207619281 276825708 369100944 415238562 553651416 830477124 1107302832 1660954248 3321908496