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3289200096 = 253713376511
BaseRepresentation
bin1100010000001101…
…0011010111100000
322111020012200021210
43010003103113200
523214013400341
61302214550120
7144336511440
oct30403232740
98436180253
103289200096
111438738796
12779668340
134055a0660
14232ba8120
15143b6cc16
hexc40d35e0

3289200096 has 96 divisors (see below), whose sum is σ = 10626674688. Its totient is φ = 867479040.

The previous prime is 3289200073. The next prime is 3289200139. The reversal of 3289200096 is 6900029823.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 179520 + ... + 196991.

It is an arithmetic number, because the mean of its divisors is an integer number (110694528).

Almost surely, 23289200096 is an apocalyptic number.

It is an amenable number.

3289200096 is an abundant number, since it is smaller than the sum of its proper divisors (7337474592).

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

3289200096 is a wasteful number, since it uses less digits than its factorization.

3289200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376544 (or 376536 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3289200096 is about 57351.5483313223. The cubic root of 3289200096 is about 1487.1796408798.

The spelling of 3289200096 in words is "three billion, two hundred eighty-nine million, two hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 376511 753022 1129533 1506044 2259066 2635577 3012088 4518132 4894643 5271154 6024176 7906731 9036264 9789286 10542308 12048352 14683929 15813462 18072528 19578572 21084616 29367858 31626924 34262501 36145056 39157144 42169232 58735716 63253848 68525002 78314288 84338464 102787503 117471432 126507696 137050004 156628576 205575006 234942864 253015392 274100008 411150012 469885728 548200016 822300024 1096400032 1644600048 3289200096