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3275788320 = 253257324979
BaseRepresentation
bin1100001101000000…
…1001000000100000
322110021222021210100
43003100021000200
523202100211240
61301015302400
7144114512160
oct30320110040
98407867710
103275788320
111431108282
1277507aa00
13402885bac
142310b65a0
151428bde30
hexc3409020

3275788320 has 144 divisors (see below), whose sum is σ = 12775613760. Its totient is φ = 748749312.

The previous prime is 3275788297. The next prime is 3275788381. The reversal of 3275788320 is 238875723.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152410 + ... + 172569.

It is an arithmetic number, because the mean of its divisors is an integer number (88719540).

Almost surely, 23275788320 is an apocalyptic number.

3275788320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3275788320 is an abundant number, since it is smaller than the sum of its proper divisors (9499825440).

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

3275788320 is a wasteful number, since it uses less digits than its factorization.

3275788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325007 (or 324996 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3275788320 is about 57234.5028806925. The cubic root of 3275788320 is about 1485.1555528650.

The spelling of 3275788320 in words is "three billion, two hundred seventy-five million, seven hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 324979 649958 974937 1299916 1624895 1949874 2274853 2599832 2924811 3249790 3899748 4549706 4874685 5199664 5849622 6499580 6824559 7799496 9099412 9749370 10399328 11374265 11699244 12999160 13649118 14624055 15598992 18198824 19498740 20473677 22748530 23398488 25998320 27298236 29248110 31197984 34122795 36397648 38997480 40947354 45497060 46796976 51996640 54596472 58496220 68245590 72795296 77994960 81894708 90994120 93593952 102368385 109192944 116992440 136491180 155989920 163789416 181988240 204736770 218385888 233984880 272982360 327578832 363976480 409473540 467969760 545964720 655157664 818947080 1091929440 1637894160 3275788320