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3031713360 = 2434513172973
BaseRepresentation
bin1011010010110100…
…0100011001010000
321211021200222220000
42310231010121100
522202104311420
61220500050000
7135062065314
oct26455043120
97737628800
103031713360
111316361135
12707393900
13394139340
1420a8ddb44
1512b25a690
hexb4b44650

3031713360 has 800 divisors, whose sum is σ = 12590756640. Its totient is φ = 668860416.

The previous prime is 3031713337. The next prime is 3031713403. The reversal of 3031713360 is 633171303.

It can be written as a sum of positive squares in 16 ways, for example, as 609892416 + 2421820944 = 24696^2 + 49212^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41530284 + ... + 41530356.

Almost surely, 23031713360 is an apocalyptic number.

3031713360 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 3031713360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295378320).

3031713360 is an abundant number, since it is smaller than the sum of its proper divisors (9559043280).

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

3031713360 is a wasteful number, since it uses less digits than its factorization.

3031713360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3031713360 is about 55060.9967218175. The cubic root of 3031713360 is about 1447.3138314627.

Adding to 3031713360 its reverse (633171303), we get a palindrome (3664884663).

The spelling of 3031713360 in words is "three billion, thirty-one million, seven hundred thirteen thousand, three hundred sixty".