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3372443008 = 27117930319
BaseRepresentation
bin1100100100000011…
…0110010110000000
322201000211212002121
43021000312112000
523401321134013
61314351054024
7146400202234
oct31100662600
98630755077
103372443008
111480724390
127a1511314
134198c7b0c
1423dc765c4
1514b11258d
hexc9036580

3372443008 has 64 divisors (see below), whose sum is σ = 7422336000. Its totient is φ = 1513474560.

The previous prime is 3372442999. The next prime is 3372443021. The reversal of 3372443008 is 8003442733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33724430082 = 22746743684416176128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96073 + ... + 126391.

It is an arithmetic number, because the mean of its divisors is an integer number (115974000).

Almost surely, 23372443008 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 3372443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711168000).

3372443008 is an abundant number, since it is smaller than the sum of its proper divisors (4049892992).

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

3372443008 is a wasteful number, since it uses less digits than its factorization.

3372443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30423 (or 30411 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3372443008 is about 58072.7389400569. The cubic root of 3372443008 is about 1499.6210906636.

The spelling of 3372443008 in words is "three billion, three hundred seventy-two million, four hundred forty-three thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 316 352 632 704 869 1264 1408 1738 2528 3476 5056 6952 10112 13904 27808 30319 55616 60638 111232 121276 242552 333509 485104 667018 970208 1334036 1940416 2395201 2668072 3880832 4790402 5336144 9580804 10672288 19161608 21344576 26347211 38323216 42689152 52694422 76646432 105388844 153292864 210777688 306585728 421555376 843110752 1686221504 3372443008