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3332078640 = 243351131961
BaseRepresentation
bin1100011010011011…
…0111110000110000
322121012220010121000
43012212313300300
523311003004030
61310350002000
7145400125662
oct30646676060
98535803530
103332078640
11145a965000
1278baa6300
13411434487
1423876a532
151477dc860
hexc69b7c30

3332078640 has 640 divisors, whose sum is σ = 13506278400. Its totient is φ = 752716800.

The previous prime is 3332078597. The next prime is 3332078663. The reversal of 3332078640 is 468702333.

3332078640 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 0 + 7 + 8 + 640 = 666.

3332078640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33320786402 = 22205496126288499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3332078595 and 3332078604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54624210 + ... + 54624270.

It is an arithmetic number, because the mean of its divisors is an integer number (21103560).

Almost surely, 23332078640 is an apocalyptic number.

3332078640 is a gapful number since it is divisible by the number (30) 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 3332078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753139200).

3332078640 is an abundant number, since it is smaller than the sum of its proper divisors (10174199760).

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

3332078640 is a wasteful number, since it uses less digits than its factorization.

3332078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3332078640 is about 57724.1599332550. The cubic root of 3332078640 is about 1493.6141323759.

The spelling of 3332078640 in words is "three billion, three hundred thirty-two million, seventy-eight thousand, six hundred forty".