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3208512996 = 22321321972677
BaseRepresentation
bin1011111100111110…
…0000010111100100
322021121101100101200
42333033200113210
523032334403441
61250213322500
7142336624203
oct27717402744
98247340350
103208512996
1113a7138337
12756636430
133c195c600
142261a323a
1513ba307b6
hexbf3e05e4

3208512996 has 108 divisors (see below), whose sum is σ = 8830153332. Its totient is φ = 981856512.

The previous prime is 3208512977. The next prime is 3208513001. The reversal of 3208512996 is 6992158023.

It can be written as a sum of positive squares in 6 ways, for example, as 471758400 + 2736754596 = 21720^2 + 52314^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1197210 + ... + 1199886.

It is an arithmetic number, because the mean of its divisors is an integer number (81760679).

Almost surely, 23208512996 is an apocalyptic number.

3208512996 is a gapful number since it is divisible by the number (36) 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 3208512996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415076666).

3208512996 is an abundant number, since it is smaller than the sum of its proper divisors (5621640336).

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

3208512996 is a wasteful number, since it uses less digits than its factorization.

3208512996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3208512996 is about 56643.7374826203. The cubic root of 3208512996 is about 1474.9181984320.

The spelling of 3208512996 in words is "three billion, two hundred eight million, five hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 197 234 338 394 468 507 591 676 788 1014 1182 1521 1773 2028 2364 2561 2677 3042 3546 5122 5354 6084 7092 7683 8031 10244 10708 15366 16062 23049 24093 30732 32124 33293 34801 46098 48186 66586 69602 92196 96372 99879 104403 133172 139204 199758 208806 299637 313209 399516 417612 452413 527369 599274 626418 904826 1054738 1198548 1252836 1357239 1582107 1809652 2109476 2714478 3164214 4071717 4746321 5428956 6328428 6855797 8143434 9492642 13711594 16286868 18985284 20567391 27423188 41134782 61702173 82269564 89125361 123404346 178250722 246808692 267376083 356501444 534752166 802128249 1069504332 1604256498 3208512996