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3058041168 = 2433713107727
BaseRepresentation
bin1011011001000110…
…0000000101010000
321220010020120212000
42312101200011100
522230324304133
61223240234000
7135531630630
oct26621400520
97803216760
103058041168
11132a203656
1271416b900
13399726a20
142101d46c0
1512d70b413
hexb6460150

3058041168 has 320 divisors, whose sum is σ = 10919301120. Its totient is φ = 797879808.

The previous prime is 3058041167. The next prime is 3058041193. The reversal of 3058041168 is 8611408503.

3058041168 is a `hidden beast` number, since 3 + 0 + 580 + 4 + 11 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058041167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4206021 + ... + 4206747.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 23058041168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3058041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

3058041168 is an abundant number, since it is smaller than the sum of its proper divisors (7861259952).

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

3058041168 is a wasteful number, since it uses less digits than its factorization.

3058041168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3058041168 is about 55299.5584792501. The cubic root of 3058041168 is about 1451.4913182959.

The spelling of 3058041168 in words is "three billion, fifty-eight million, forty-one thousand, one hundred sixty-eight".