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3372960560 = 245194994447
BaseRepresentation
bin1100100100001011…
…0100101100110000
322201001211011001012
43021002310230300
523401434214220
61314410130052
7146404456154
oct31102645460
98631734035
103372960560
111480a48212
127a1720928
13419a49568
1423dd6d064
1514b1b5ac5
hexc90b4b30

3372960560 has 80 divisors (see below), whose sum is σ = 8273280000. Its totient is φ = 1275326208.

The previous prime is 3372960553. The next prime is 3372960583. The reversal of 3372960560 is 650692733.

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

It is a super-2 number, since 2×33729605602 = 22753725878631027200, which contains 22 as substring.

It is an unprimeable number.

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, 756257 + ... + 760703.

It is an arithmetic number, because the mean of its divisors is an integer number (103416000).

Almost surely, 23372960560 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 3372960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136640000).

3372960560 is an abundant number, since it is smaller than the sum of its proper divisors (4900319440).

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

3372960560 is a wasteful number, since it uses less digits than its factorization.

3372960560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The square root of 3372960560 is about 58077.1948358390. The cubic root of 3372960560 is about 1499.6977998615.

The spelling of 3372960560 in words is "three billion, three hundred seventy-two million, nine hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 499 760 998 1520 1996 2495 3992 4447 4990 7984 8894 9481 9980 17788 18962 19960 22235 35576 37924 39920 44470 47405 71152 75848 84493 88940 94810 151696 168986 177880 189620 337972 355760 379240 422465 675944 758480 844930 1351888 1689860 2219053 3379720 4438106 6759440 8876212 11095265 17752424 22190530 35504848 42162007 44381060 84324014 88762120 168648028 177524240 210810035 337296056 421620070 674592112 843240140 1686480280 3372960560