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3360073632 = 253293138933
BaseRepresentation
bin1100100001000110…
…1010011110100000
322200011120102111120
43020101222132200
523340134324012
61313230012240
7146160104016
oct31021523640
98604512446
103360073632
111474746063
12799347080
13417186966
1423c3768b6
15149ebc58c
hexc846a7a0

3360073632 has 96 divisors (see below), whose sum is σ = 9418913280. Its totient is φ = 1046492160.

The previous prime is 3360073631. The next prime is 3360073649. The reversal of 3360073632 is 2363700633.

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

It is a super-2 number, since 2×33600736322 = 22580189624923342848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3360073593 and 3360073602.

It is not an unprimeable number, because it can be changed into a prime (3360073631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66838 + ... + 105770.

It is an arithmetic number, because the mean of its divisors is an integer number (98113680).

Almost surely, 23360073632 is an apocalyptic number.

3360073632 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 3360073632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709456640).

3360073632 is an abundant number, since it is smaller than the sum of its proper divisors (6058839648).

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

3360073632 is a wasteful number, since it uses less digits than its factorization.

3360073632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39006 (or 38998 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 33.

The square root of 3360073632 is about 57966.1421176190. The cubic root of 3360073632 is about 1497.7854182497.

The spelling of 3360073632 in words is "three billion, three hundred sixty million, seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 2697 2784 2976 3596 5394 7192 10788 14384 21576 28768 38933 43152 77866 86304 116799 155732 233598 311464 467196 622928 934392 1129057 1206923 1245856 1868784 2258114 2413846 3387171 3620769 3737568 4516228 4827692 6774342 7241538 9032456 9655384 13548684 14483076 18064912 19310768 27097368 28966152 35000767 36129824 38621536 54194736 57932304 70001534 105002301 108389472 115864608 140003068 210004602 280006136 420009204 560012272 840018408 1120024544 1680036816 3360073632