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3678292740 = 22357183101103
BaseRepresentation
bin1101101100111110…
…0100101100000100
3100111100100122001110
43123033210230010
530013120331430
61404554325020
7160102654353
oct33317445404
910440318043
103678292740
111618333861
12867a29770
134680933a5
1426c72d99a
15167dc97b0
hexdb3e4b04

3678292740 has 192 divisors, whose sum is σ = 10778406912. Its totient is φ = 936768000.

The previous prime is 3678292721. The next prime is 3678292763. The reversal of 3678292740 is 472928763.

3678292740 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 2×36782927402 = 27059674962273415200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3678292740.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35711529 + ... + 35711631.

It is an arithmetic number, because the mean of its divisors is an integer number (56137536).

Almost surely, 23678292740 is an apocalyptic number.

3678292740 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 3678292740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389203456).

3678292740 is an abundant number, since it is smaller than the sum of its proper divisors (7100114172).

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

3678292740 is a wasteful number, since it uses less digits than its factorization.

3678292740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3678292740 is about 60648.9302461305. The cubic root of 3678292740 is about 1543.6497372092.

The spelling of 3678292740 in words is "three billion, six hundred seventy-eight million, two hundred ninety-two thousand, seven hundred forty".