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3086474040 = 2332513297523
BaseRepresentation
bin1011011111110111…
…1101101100111000
321222002202010102100
42313331331230320
522310114132130
61230133503400
7136325411406
oct26775755470
97862663370
103086474040
1113442636a1
127217a1b60
133a25a0600
14213cb6476
15130e75c60
hexb7f7db38

3086474040 has 288 divisors, whose sum is σ = 10994976720. Its totient is φ = 750477312.

The previous prime is 3086473993. The next prime is 3086474047. The reversal of 3086474040 is 404746803.

3086474040 is a `hidden beast` number, since 3 + 0 + 8 + 647 + 4 + 0 + 4 + 0 = 666.

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 = 3086473986 and 3086474004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086474047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5901219 + ... + 5901741.

Almost surely, 23086474040 is an apocalyptic number.

3086474040 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 3086474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497488360).

3086474040 is an abundant number, since it is smaller than the sum of its proper divisors (7908502680).

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

3086474040 is a wasteful number, since it uses less digits than its factorization.

3086474040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3086474040 is about 55556.0441356294. The cubic root of 3086474040 is about 1455.9759774948.

The spelling of 3086474040 in words is "three billion, eighty-six million, four hundred seventy-four thousand, forty".