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424360656 = 24324017349
BaseRepresentation
bin11001010010110…
…011101011010000
31002120111202101100
4121102303223100
51332114020111
6110035304400
713342002036
oct3122635320
91076452340
10424360656
111a85a4495
12ba14b100
1369bc07a5
1440506556
15273c6756
hex194b3ad0

424360656 has 60 divisors (see below), whose sum is σ = 1190744100. Its totient is φ = 141081600.

The previous prime is 424360639. The next prime is 424360661. The reversal of 424360656 is 656063424.

424360656 is a `hidden beast` number, since 4 + 2 + 43 + 606 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 375584400 + 48776256 = 19380^2 + 6984^2 .

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 424360656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54070 + ... + 61418.

It is an arithmetic number, because the mean of its divisors is an integer number (19845735).

Almost surely, 2424360656 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 424360656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595372050).

424360656 is an abundant number, since it is smaller than the sum of its proper divisors (766383444).

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

424360656 is a wasteful number, since it uses less digits than its factorization.

424360656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 424360656 is about 20600.0159223239. The cubic root of 424360656 is about 751.4700978669.

The spelling of 424360656 in words is "four hundred twenty-four million, three hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 2406 3208 3609 4812 6416 7218 7349 9624 14436 14698 19248 22047 28872 29396 44094 57744 58792 66141 88188 117584 132282 176376 264564 352752 529128 1058256 2946949 5893898 8840847 11787796 17681694 23575592 26522541 35363388 47151184 53045082 70726776 106090164 141453552 212180328 424360656