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4323007656 = 2332112173101
BaseRepresentation
bin1000000011010101…
…11101110010101000
3102011021111112122200
410001222331302220
532323142221111
61552545020200
7212061646602
oct40152756250
912137445580
104323007656
111919252700
12a07924660
1353b8168c6
142d01d6172
151a47cb256
hex101abdca8

4323007656 has 288 divisors, whose sum is σ = 13808831400. Its totient is φ = 1220736000.

The previous prime is 4323007649. The next prime is 4323007681. The reversal of 4323007656 is 6567003234.

It can be written as a sum of positive squares in 4 ways, for example, as 4312548900 + 10458756 = 65670^2 + 3234^2 .

It is a super-2 number, since 2×43230076562 = 37376790387669228672, which contains 22 as substring.

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 4323007656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42802006 + ... + 42802106.

Almost surely, 24323007656 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 4323007656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904415700).

4323007656 is an abundant number, since it is smaller than the sum of its proper divisors (9485823744).

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

4323007656 is a wasteful number, since it uses less digits than its factorization.

4323007656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4323007656 is about 65749.5829340384. The cubic root of 4323007656 is about 1629.0284468328.

The spelling of 4323007656 in words is "four billion, three hundred twenty-three million, seven thousand, six hundred fifty-six".