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3317712096 = 253238916883
BaseRepresentation
bin1100010111000000…
…0100010011100000
322120012212020101210
43011300010103200
523243313241341
61305114030120
7145134042006
oct30560042340
98505766353
103317712096
111452842226
12787118340
1340b47426a
142368aaa76
15146400c16
hexc5c044e0

3317712096 has 96 divisors (see below), whose sum is σ = 9190298880. Its totient is φ = 1045873664.

The previous prime is 3317712089. The next prime is 3317712107. The reversal of 3317712096 is 6902177133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33177120962 = 22014427103889426432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188071 + ... + 204953.

It is an arithmetic number, because the mean of its divisors is an integer number (95732280).

Almost surely, 23317712096 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 3317712096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595149440).

3317712096 is an abundant number, since it is smaller than the sum of its proper divisors (5872586784).

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

3317712096 is a wasteful number, since it uses less digits than its factorization.

3317712096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008 (or 17000 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 3317712096 is about 57599.5841651656. The cubic root of 3317712096 is about 1491.4644245408.

The spelling of 3317712096 in words is "three billion, three hundred seventeen million, seven hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 89 92 96 138 178 184 267 276 356 368 534 552 712 736 1068 1104 1424 2047 2136 2208 2848 4094 4272 6141 8188 8544 12282 16376 16883 24564 32752 33766 49128 50649 65504 67532 98256 101298 135064 196512 202596 270128 388309 405192 540256 776618 810384 1164927 1502587 1553236 1620768 2329854 3005174 3106472 4507761 4659708 6010348 6212944 9015522 9319416 12020696 12425888 18031044 18638832 24041392 34559501 36062088 37277664 48082784 69119002 72124176 103678503 138238004 144248352 207357006 276476008 414714012 552952016 829428024 1105904032 1658856048 3317712096