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3434862112 = 251123940829
BaseRepresentation
bin1100110010111011…
…1101011000100000
322212101022002000021
43030232331120200
524013311041422
61324501003224
7151055563153
oct31456753040
98771262007
103434862112
111502987820
127ba3b3514
13429810bb6
14248283c9a
15151841dc7
hexccbbd620

3434862112 has 48 divisors (see below), whose sum is σ = 7408195200. Its totient is φ = 1554730240.

The previous prime is 3434862091. The next prime is 3434862139. The reversal of 3434862112 is 2112684343.

3434862112 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 7 ways as a sum of consecutive naturals, for example, 63714 + ... + 104542.

It is an arithmetic number, because the mean of its divisors is an integer number (154337400).

Almost surely, 23434862112 is an apocalyptic number.

3434862112 is a gapful number since it is divisible by the number (32) 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 3434862112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704097600).

3434862112 is an abundant number, since it is smaller than the sum of its proper divisors (3973333088).

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

3434862112 is a wasteful number, since it uses less digits than its factorization.

3434862112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41089 (or 41081 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 3434862112 is about 58607.6966959119. The cubic root of 3434862112 is about 1508.8165386059.

The spelling of 3434862112 in words is "three billion, four hundred thirty-four million, eight hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1912 2629 3824 5258 7648 10516 21032 40829 42064 81658 84128 163316 326632 449119 653264 898238 1306528 1796476 3592952 7185904 9758131 14371808 19516262 39032524 78065048 107339441 156130096 214678882 312260192 429357764 858715528 1717431056 3434862112