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630037296 = 243272293079
BaseRepresentation
bin100101100011011…
…001101100110000
31121220112012200200
4211203121230300
52242242143141
6142303515200
721420141300
oct4543315460
91556465620
10630037296
112a3704389
12156bb8b00
13a06b4845
145d965600
153a4a2ab6
hex258d9b30

630037296 has 180 divisors, whose sum is σ = 2122520400. Its totient is φ = 173746944.

The previous prime is 630037279. The next prime is 630037297. The reversal of 630037296 is 692730036.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 630037296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630037297) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203085 + ... + 206163.

It is an arithmetic number, because the mean of its divisors is an integer number (11791780).

Almost surely, 2630037296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630037296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061260200).

630037296 is an abundant number, since it is smaller than the sum of its proper divisors (1492483104).

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

630037296 is a wasteful number, since it uses less digits than its factorization.

630037296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 630037296 is about 25100.5437391304. The cubic root of 630037296 is about 857.2788045321.

The spelling of 630037296 in words is "six hundred thirty million, thirty-seven thousand, two hundred ninety-six".