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3339714816 = 2832192331107
BaseRepresentation
bin1100011100010000…
…0000000100000000
322121202021002110100
43013010000010000
523314431333231
61311221402400
7145522051614
oct30704000400
98552232410
103339714816
111464200199
12792569400
13412ba9119
14239797344
151482ea1e6
hexc7100100

3339714816 has 432 divisors, whose sum is σ = 11019939840. Its totient is φ = 967127040.

The previous prime is 3339714751. The next prime is 3339714823. The reversal of 3339714816 is 6184179333.

It is a super-2 number, since 2×33397148162 = 22307390104419827712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31212235 + ... + 31212341.

It is an arithmetic number, because the mean of its divisors is an integer number (25509120).

Almost surely, 23339714816 is an apocalyptic number.

3339714816 is a gapful number since it is divisible by the number (36) 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 3339714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509969920).

3339714816 is an abundant number, since it is smaller than the sum of its proper divisors (7680225024).

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

3339714816 is a wasteful number, since it uses less digits than its factorization.

3339714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3339714816 is about 57790.2657547099. The cubic root of 3339714816 is about 1494.7542413967.

The spelling of 3339714816 in words is "three billion, three hundred thirty-nine million, seven hundred fourteen thousand, eight hundred sixteen".