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3268164080 = 245715571033
BaseRepresentation
bin1100001011001100…
…0011100111110000
322102202121221022002
43002303003213300
523143122222310
61300144033132
7143662636106
oct30263034760
98382557262
103268164080
111427880055
127726027a8
134011167cc
1423008dc76
15141db4da5
hexc2cc39f0

3268164080 has 80 divisors (see below), whose sum is σ = 7726809024. Its totient is φ = 1285294080.

The previous prime is 3268164071. The next prime is 3268164091. The reversal of 3268164080 is 804618623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163244 + ... + 3164276.

Almost surely, 23268164080 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 3268164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863404512).

3268164080 is an abundant number, since it is smaller than the sum of its proper divisors (4458644944).

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

3268164080 is a wasteful number, since it uses less digits than its factorization.

3268164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 3268164080 is about 57167.8588019527. The cubic root of 3268164080 is about 1484.0024483943.

The spelling of 3268164080 in words is "three billion, two hundred sixty-eight million, one hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 557 568 710 1033 1114 1136 1420 2066 2228 2785 2840 4132 4456 5165 5570 5680 8264 8912 10330 11140 16528 20660 22280 39547 41320 44560 73343 79094 82640 146686 158188 197735 293372 316376 366715 395470 575381 586744 632752 733430 790940 1150762 1173488 1466860 1581880 2301524 2876905 2933720 3163760 4603048 5753810 5867440 9206096 11507620 23015240 40852051 46030480 81704102 163408204 204260255 326816408 408520510 653632816 817041020 1634082040 3268164080