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4834340160 = 2635131312957
BaseRepresentation
bin1001000000010011…
…00010110101000000
3110110220122220222120
410200021202311000
534400042341120
62115412404240
7230541133116
oct44011426500
913426586876
104834340160
11206094a351
12b2b016680
135c0738c10
1433c09bab6
151d4632140
hex120262d40

4834340160 has 224 divisors, whose sum is σ = 16661538432. Its totient is φ = 1180508160.

The previous prime is 4834340149. The next prime is 4834340207. The reversal of 4834340160 is 610434384.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633402 + ... + 1636358.

It is an arithmetic number, because the mean of its divisors is an integer number (74381868).

Almost surely, 24834340160 is an apocalyptic number.

4834340160 is a gapful number since it is divisible by the number (40) 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 4834340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330769216).

4834340160 is an abundant number, since it is smaller than the sum of its proper divisors (11827198272).

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

4834340160 is a wasteful number, since it uses less digits than its factorization.

4834340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4834340160 is about 69529.4193848906. The cubic root of 4834340160 is about 1690.8784994098.

The spelling of 4834340160 in words is "four billion, eight hundred thirty-four million, three hundred forty thousand, one hundred sixty".