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3371827872 = 253717295153
BaseRepresentation
bin1100100011111010…
…0000001010100000
322200222200121021210
43020332200022200
523401141442442
61314325550120
7146362030650
oct31076401240
98628617253
103371827872
111480344206
127a1275340
13419740b2a
1423db56360
1514b04019c
hexc8fa02a0

3371827872 has 96 divisors (see below), whose sum is σ = 10710548352. Its totient is φ = 906706944.

The previous prime is 3371827861. The next prime is 3371827891. The reversal of 3371827872 is 2787281733.

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 2×33718278722 = 22738446396792096768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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, 136153 + ... + 159000.

It is an arithmetic number, because the mean of its divisors is an integer number (111568212).

Almost surely, 23371827872 is an apocalyptic number.

3371827872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3371827872 is an abundant number, since it is smaller than the sum of its proper divisors (7338720480).

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

3371827872 is a wasteful number, since it uses less digits than its factorization.

3371827872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295190 (or 295182 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 3371827872 is about 58067.4424441098. The cubic root of 3371827872 is about 1499.5299078021.

The spelling of 3371827872 in words is "three billion, three hundred seventy-one million, eight hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 295153 590306 885459 1180612 1770918 2066071 2361224 3541836 4132142 4722448 5017601 6198213 7083672 8264284 9444896 10035202 12396426 14167344 15052803 16528568 20070404 24792852 28334688 30105606 33057136 35123207 40140808 49585704 60211212 66114272 70246414 80281616 99171408 105369621 120422424 140492828 160563232 198342816 210739242 240844848 280985656 421478484 481689696 561971312 842956968 1123942624 1685913936 3371827872