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3213907264 = 261014211181
BaseRepresentation
bin1011111110010000…
…0101010101000000
322021222112101221101
42333210011111000
523040230013024
61250525104144
7142433522011
oct27744052500
98258471841
103213907264
1113aa192107
127583b8054
133c2aca999
14226ba9008
1513c248c44
hexbf905540

3213907264 has 56 divisors (see below), whose sum is σ = 6461507016. Its totient is φ = 1585920000.

The previous prime is 3213907259. The next prime is 3213907289. The reversal of 3213907264 is 4627093123.

It can be written as a sum of positive squares in 4 ways, for example, as 948147264 + 2265760000 = 30792^2 + 47600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2720754 + ... + 2721934.

Almost surely, 23213907264 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 3213907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230753508).

3213907264 is an abundant number, since it is smaller than the sum of its proper divisors (3247599752).

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

3213907264 is a wasteful number, since it uses less digits than its factorization.

3213907264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 3213907264 is about 56691.3332353368. Note that the first 3 decimals coincide. The cubic root of 3213907264 is about 1475.7442975744.

The spelling of 3213907264 in words is "three billion, two hundred thirteen million, nine hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 101 202 404 421 808 842 1181 1616 1684 2362 3232 3368 4724 6464 6736 9448 13472 18896 26944 37792 42521 75584 85042 119281 170084 238562 340168 477124 497201 680336 954248 994402 1360672 1908496 1988804 2721344 3816992 3977608 7633984 7955216 15910432 31820864 50217301 100434602 200869204 401738408 803476816 1606953632 3213907264