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3314580096 = 273191493049
BaseRepresentation
bin1100010110010000…
…0111101010000000
322112222222010002210
43011210013222000
523242013030341
61304522542120
7145065315552
oct30544075200
98488863083
103314580096
111450aa30a3
12786067940
1340a9187c9
142362d34d2
15145ed2c16
hexc5907a80

3314580096 has 128 divisors (see below), whose sum is σ = 9333000000. Its totient is φ = 1039343616.

The previous prime is 3314580043. The next prime is 3314580127. The reversal of 3314580096 is 6900854133.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085580 + ... + 1088628.

Almost surely, 23314580096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666500000).

3314580096 is an abundant number, since it is smaller than the sum of its proper divisors (6018419904).

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

3314580096 is a wasteful number, since it uses less digits than its factorization.

3314580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3314580096 is about 57572.3900493978. The cubic root of 3314580096 is about 1490.9949506842.

The spelling of 3314580096 in words is "three billion, three hundred fourteen million, five hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 149 152 192 228 298 304 384 447 456 596 608 894 912 1192 1216 1788 1824 2384 2432 2831 3049 3576 3648 4768 5662 6098 7152 7296 8493 9147 9536 11324 12196 14304 16986 18294 19072 22648 24392 28608 33972 36588 45296 48784 57216 57931 67944 73176 90592 97568 115862 135888 146352 173793 181184 195136 231724 271776 292704 347586 362368 390272 454301 463448 543552 585408 695172 908602 926896 1087104 1170816 1362903 1390344 1817204 1853792 2725806 2780688 3634408 3707584 5451612 5561376 7268816 7415168 8631719 10903224 11122752 14537632 17263438 21806448 22245504 25895157 29075264 34526876 43612896 51790314 58150528 69053752 87225792 103580628 138107504 174451584 207161256 276215008 414322512 552430016 828645024 1104860032 1657290048 3314580096