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3290041680 = 2435127107941
BaseRepresentation
bin1100010000011010…
…0000110101010000
322111021210102201120
43010012200311100
523214222313210
61302245002240
7144346615152
oct30406406520
98437712646
103290041680
111439163012
127799b3380
13405806733
14232d46ad2
15143c87270
hexc41a0d50

3290041680 has 80 divisors (see below), whose sum is σ = 10279532544. Its totient is φ = 870428160.

The previous prime is 3290041673. The next prime is 3290041681. The reversal of 3290041680 is 861400923.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×32900416802 = 21648748512274444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290041681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23491 + ... + 84450.

Almost surely, 23290041680 is an apocalyptic number.

3290041680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3290041680 is an abundant number, since it is smaller than the sum of its proper divisors (6989490864).

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

3290041680 is a wasteful number, since it uses less digits than its factorization.

3290041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108084 (or 108078 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3290041680 is about 57358.8849264000. The cubic root of 3290041680 is about 1487.3064680541.

The spelling of 3290041680 in words is "three billion, two hundred ninety million, forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 107941 215882 323823 431764 539705 647646 863528 1079410 1295292 1619115 1727056 2158820 2590584 3238230 4317640 5181168 6476460 8635280 12952920 13708507 25905840 27417014 41125521 54834028 68542535 82251042 109668056 137085070 164502084 205627605 219336112 274170140 329004168 411255210 548340280 658008336 822510420 1096680560 1645020840 3290041680