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3241897152 = 263138771481
BaseRepresentation
bin1100000100111011…
…0110110011000000
322100221012102211220
43001032312303000
523114411202102
61253405035040
7143223446124
oct30116666300
98327172756
103241897152
111413a6a34a
12765855a80
133c884aa50
1422a7b3584
1513e9271bc
hexc13b6cc0

3241897152 has 112 divisors (see below), whose sum is σ = 9254105952. Its totient is φ = 995696640.

The previous prime is 3241897147. The next prime is 3241897181. The reversal of 3241897152 is 2517981423.

It is a super-2 number, since 2×32418971522 = 21019794288291422208, which contains 22 as substring.

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, 2188252 + ... + 2189732.

It is an arithmetic number, because the mean of its divisors is an integer number (82625946).

Almost surely, 23241897152 is an apocalyptic number.

3241897152 is a gapful number since it is divisible by the number (32) 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 3241897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627052976).

3241897152 is an abundant number, since it is smaller than the sum of its proper divisors (6012208800).

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

3241897152 is a wasteful number, since it uses less digits than its factorization.

3241897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 3241897152 is about 56937.6602258997. The cubic root of 3241897152 is about 1480.0160017749.

The spelling of 3241897152 in words is "three billion, two hundred forty-one million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 877 1248 1481 1754 2496 2631 2962 3508 4443 5262 5924 7016 8886 10524 11401 11848 14032 17772 19253 21048 22802 23696 28064 34203 35544 38506 42096 45604 47392 56128 57759 68406 71088 77012 84192 91208 94784 115518 136812 142176 154024 168384 182416 231036 273624 284352 308048 364832 462072 547248 616096 729664 924144 1094496 1232192 1298837 1848288 2188992 2597674 3696576 3896511 5195348 7793022 10390696 15586044 16884881 20781392 31172088 33769762 41562784 50654643 62344176 67539524 83125568 101309286 124688352 135079048 202618572 249376704 270158096 405237144 540316192 810474288 1080632384 1620948576 3241897152