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3268502664 = 233721927699
BaseRepresentation
bin1100001011010001…
…0110010010001000
322102210021010202020
43002310112102020
523143214041124
61300155204440
7143665546200
oct30264262210
98383233666
103268502664
111427a91479
12772746720
1340120495b
1423013b400
15141e30379
hexc2d16488

3268502664 has 144 divisors (see below), whose sum is σ = 10033254000. Its totient is φ = 884592576.

The previous prime is 3268502651. The next prime is 3268502669. The reversal of 3268502664 is 4662058623.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3268502669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 420687 + ... + 428385.

It is an arithmetic number, because the mean of its divisors is an integer number (69675375).

Almost surely, 23268502664 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 3268502664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016627000).

3268502664 is an abundant number, since it is smaller than the sum of its proper divisors (6764751336).

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

3268502664 is a wasteful number, since it uses less digits than its factorization.

3268502664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3268502664 is about 57170.8200395971. The cubic root of 3268502664 is about 1484.0536945091.

The spelling of 3268502664 in words is "three billion, two hundred sixty-eight million, five hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 361 392 399 456 532 588 722 798 931 1064 1083 1176 1444 1596 1862 2166 2527 2793 2888 3192 3724 4332 5054 5586 7448 7581 7699 8664 10108 11172 15162 15398 17689 20216 22344 23097 30324 30796 35378 46194 53067 53893 60648 61592 70756 92388 106134 107786 141512 146281 161679 184776 212268 215572 292562 323358 377251 424536 431144 438843 585124 646716 754502 877686 1023967 1131753 1170248 1293432 1509004 1755372 2047934 2263506 2779339 3018008 3071901 3510744 4095868 4527012 5558678 6143802 7167769 8191736 8338017 9054024 11117356 12287604 14335538 16676034 19455373 21503307 22234712 24575208 28671076 33352068 38910746 43006614 57342152 58366119 66704136 77821492 86013228 116732238 136187611 155642984 172026456 233464476 272375222 408562833 466928952 544750444 817125666 1089500888 1634251332 3268502664