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3200313312 = 253271639739
BaseRepresentation
bin1011111011000000…
…1110011111100000
322021000221202112200
42332300032133200
523023240011222
61245321453200
7142210133340
oct27660163740
98230852480
103200313312
1113a2547839
12753941200
133c004b321
1422506ad20
1513ae60eac
hexbec0e7e0

3200313312 has 144 divisors (see below), whose sum is σ = 10465902720. Its totient is φ = 908672256.

The previous prime is 3200313239. The next prime is 3200313323. The reversal of 3200313312 is 2133130023.

3200313312 is a `hidden beast` number, since 320 + 0 + 31 + 3 + 312 = 666.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323739 + ... + 333477.

It is an arithmetic number, because the mean of its divisors is an integer number (72679880).

Almost surely, 23200313312 is an apocalyptic number.

3200313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232951360).

3200313312 is an abundant number, since it is smaller than the sum of its proper divisors (7265589408).

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

3200313312 is a wasteful number, since it uses less digits than its factorization.

3200313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9925 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3200313312 is about 56571.3117401391. The cubic root of 3200313312 is about 1473.6606916898.

Adding to 3200313312 its reverse (2133130023), we get a palindrome (5333443335).

The spelling of 3200313312 in words is "three billion, two hundred million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1304 1467 1956 2016 2282 2608 2934 3423 3912 4564 5216 5868 6846 7824 9128 9739 10269 11736 13692 15648 18256 19478 20538 23472 27384 29217 36512 38956 41076 46944 54768 58434 68173 77912 82152 87651 109536 116868 136346 155824 164304 175302 204519 233736 272692 311648 328608 350604 409038 467472 545384 613557 701208 818076 934944 1090768 1227114 1402416 1587457 1636152 2181536 2454228 2804832 3174914 3272304 4762371 4908456 6349828 6544608 9524742 9816912 11112199 12699656 14287113 19049484 19633824 22224398 25399312 28574226 33336597 38098968 44448796 50798624 57148452 66673194 76197936 88897592 100009791 114296904 133346388 152395872 177795184 200019582 228593808 266692776 355590368 400039164 457187616 533385552 800078328 1066771104 1600156656 3200313312