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3090348422304 = 25311131723125127
BaseRepresentation
bin101100111110000111000…
…111101011010010100000
3101221102201200202200010020
4230332013013223102200
5401113013144003204
610323404135433440
7436161500114103
oct54760707532240
911842650680106
103090348422304
11a91678134690
1241ab1b525880
131955598a5210
14a98061b073a
15555c1496bd9
hex2cf871eb4a0

3090348422304 has 576 divisors, whose sum is σ = 10450957934592. Its totient is φ = 787308134400.

The previous prime is 3090348422281. The next prime is 3090348422333. The reversal of 3090348422304 is 4032248430903.

3090348422304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122976589 + ... + 123001715.

It is an arithmetic number, because the mean of its divisors is an integer number (18144024192).

Almost surely, 23090348422304 is an apocalyptic number.

3090348422304 is a gapful number since it is divisible by the number (34) 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 3090348422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225478967296).

3090348422304 is an abundant number, since it is smaller than the sum of its proper divisors (7360609512288).

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

3090348422304 is a wasteful number, since it uses less digits than its factorization.

3090348422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25229 (or 25204 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 3090348422304 in words is "three trillion, ninety billion, three hundred forty-eight million, four hundred twenty-two thousand, three hundred four".