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3374659008 = 263273192931
BaseRepresentation
bin1100100100100101…
…0011010111000000
322201012000102212200
43021021103113000
523402403042013
61314510353200
7146425062000
oct31111232700
98635012780
103374659008
1114819a8296
127a21bb800
1341a1c2666
14240292000
1514b3ede73
hexc92535c0

3374659008 has 672 divisors, whose sum is σ = 12679680000. Its totient is φ = 853493760.

The previous prime is 3374658971. The next prime is 3374659021. The reversal of 3374659008 is 8009564733.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×33746590082 = 22776646840551088128, 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108859953 + ... + 108859983.

Almost surely, 23374659008 is an apocalyptic number.

3374659008 is a gapful number since it is divisible by the number (38) 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 3374659008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339840000).

3374659008 is an abundant number, since it is smaller than the sum of its proper divisors (9305020992).

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

3374659008 is a wasteful number, since it uses less digits than its factorization.

3374659008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3374659008 is about 58091.8153271182. The cubic root of 3374659008 is about 1499.9494809652.

The spelling of 3374659008 in words is "three billion, three hundred seventy-four million, six hundred fifty-nine thousand, eight".