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631048320 = 2734573747
BaseRepresentation
bin100101100111010…
…000100010000000
31121222102120120000
4211213100202000
52243022021240
6142341320000
721431552010
oct4547204200
91558376500
10631048320
112a4234a41
12157406000
13a0979a96
145db49c40
153a602430
hex259d0880

631048320 has 640 divisors, whose sum is σ = 2701416960. Its totient is φ = 137355264.

The previous prime is 631048291. The next prime is 631048373. The reversal of 631048320 is 23840136.

It is a happy number.

631048320 is a `hidden beast` number, since 631 + 0 + 4 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13426537 + ... + 13426583.

It is an arithmetic number, because the mean of its divisors is an integer number (4220964).

Almost surely, 2631048320 is an apocalyptic number.

631048320 is a gapful number since it is divisible by the number (60) 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 631048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350708480).

631048320 is an abundant number, since it is smaller than the sum of its proper divisors (2070368640).

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

631048320 is a wasteful number, since it uses less digits than its factorization.

631048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 631048320 is about 25120.6751501627. The cubic root of 631048320 is about 857.7371193279.

Adding to 631048320 its reverse (23840136), we get a palindrome (654888456).

The spelling of 631048320 in words is "six hundred thirty-one million, forty-eight thousand, three hundred twenty".