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630773440 = 265111783127
BaseRepresentation
bin100101100110001…
…101011011000000
31121221220121111021
4211212031123000
52242434222230
6142331355224
721426325423
oct4546153300
91557817437
10630773440
112a4067470
121572b2b14
13a08b192b
145dab79ba
153a59ac7a
hex2598d6c0

630773440 has 224 divisors, whose sum is σ = 1769693184. Its totient is φ = 211599360.

The previous prime is 630773393. The next prime is 630773449. The reversal of 630773440 is 44377036.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 630773396 and 630773405.

It is not an unprimeable number, because it can be changed into a prime (630773449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4966657 + ... + 4966783.

It is an arithmetic number, because the mean of its divisors is an integer number (7900416).

Almost surely, 2630773440 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 630773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884846592).

630773440 is an abundant number, since it is smaller than the sum of its proper divisors (1138919744).

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

630773440 is a wasteful number, since it uses less digits than its factorization.

630773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 630773440 is about 25115.2033636998. The cubic root of 630773440 is about 857.6125599167.

The spelling of 630773440 in words is "six hundred thirty million, seven hundred seventy-three thousand, four hundred forty".