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3423854070 = 2335713331421
BaseRepresentation
bin1100110000010011…
…1101110111110110
322211121120210211000
43030010331313312
524003001312240
61323425024130
7150563164560
oct31404756766
98747523730
103423854070
1114a774926a
127b6785046
13427458570
14246a1a330
151508ba430
hexcc13ddf6

3423854070 has 256 divisors, whose sum is σ = 11297986560. Its totient is φ = 718502400.

The previous prime is 3423854051. The next prime is 3423854143. The reversal of 3423854070 is 704583243.

It is a happy number.

3423854070 is a `hidden beast` number, since 3 + 42 + 3 + 8 + 540 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8132460 + ... + 8132880.

It is an arithmetic number, because the mean of its divisors is an integer number (44132760).

Almost surely, 23423854070 is an apocalyptic number.

3423854070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423854070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648993280).

3423854070 is an abundant number, since it is smaller than the sum of its proper divisors (7874132490).

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

3423854070 is a wasteful number, since it uses less digits than its factorization.

3423854070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3423854070 is about 58513.7083938456. The cubic root of 3423854070 is about 1507.2029958686.

The spelling of 3423854070 in words is "three billion, four hundred twenty-three million, eight hundred fifty-four thousand, seventy".