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3290461656 = 2331767120371
BaseRepresentation
bin1100010000100000…
…0111010111011000
322111022120202211020
43010020013113120
523214324233111
61302302002440
7144353314446
oct30410072730
98438522736
103290461656
11143941a5a9
12779b76420
13405922941
14233015b96
15143d1b906
hexc42075d8

3290461656 has 64 divisors (see below), whose sum is σ = 8840119680. Its totient is φ = 1016885760.

The previous prime is 3290461633. The next prime is 3290461697. The reversal of 3290461656 is 6561640923.

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, 32850 + ... + 87521.

It is an arithmetic number, because the mean of its divisors is an integer number (138126870).

Almost surely, 23290461656 is an apocalyptic number.

It is an amenable number.

3290461656 is an abundant number, since it is smaller than the sum of its proper divisors (5549658024).

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

3290461656 is a wasteful number, since it uses less digits than its factorization.

3290461656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120464 (or 120460 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3290461656 is about 57362.5457594065. The cubic root of 3290461656 is about 1487.3697505801.

The spelling of 3290461656 in words is "three billion, two hundred ninety million, four hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 804 1139 1608 2278 3417 4556 6834 9112 13668 27336 120371 240742 361113 481484 722226 962968 1444452 2046307 2888904 4092614 6138921 8064857 8185228 12277842 16129714 16370456 24194571 24555684 32259428 48389142 49111368 64518856 96778284 137102569 193556568 274205138 411307707 548410276 822615414 1096820552 1645230828 3290461656