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3109084440 = 23357111719793
BaseRepresentation
bin1011100101010000…
…1101110100011000
322000200021212001120
42321110031310120
522331411200230
61232302245240
7140021532060
oct27124156430
98020255046
103109084440
111355aa7180
12729286820
133a7188c47
14216cc03a0
15132e40310
hexb950dd18

3109084440 has 256 divisors, whose sum is σ = 12313451520. Its totient is φ = 608010240.

The previous prime is 3109084387. The next prime is 3109084469. The reversal of 3109084440 is 444809013.

It is a happy number.

It is a super-2 number, since 2×31090844402 = 19332812110100227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147184 + ... + 166976.

It is an arithmetic number, because the mean of its divisors is an integer number (48099420).

Almost surely, 23109084440 is an apocalyptic number.

3109084440 is a gapful number since it is divisible by the number (30) 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 3109084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156725760).

3109084440 is an abundant number, since it is smaller than the sum of its proper divisors (9204367080).

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

3109084440 is a wasteful number, since it uses less digits than its factorization.

3109084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19842 (or 19838 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3109084440 is about 55759.1646278888. The cubic root of 3109084440 is about 1459.5226499763.

The spelling of 3109084440 in words is "three billion, one hundred nine million, eighty-four thousand, four hundred forty".