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4234640256 = 273371115913
BaseRepresentation
bin1111110001100111…
…0111101110000000
3101221010020000101000
43330121313232000
532133031442011
61540111012000
7206636563650
oct37431675600
911833200330
104234640256
1118833869a0
129a220a000
13526416ac2
142c2592360
1519bb73356
hexfc677b80

4234640256 has 256 divisors, whose sum is σ = 15582988800. Its totient is φ = 1099837440.

The previous prime is 4234640251. The next prime is 4234640287. The reversal of 4234640256 is 6520464324.

4234640256 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 640 + 2 + 5 + 6 = 666.

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 4234640256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234640251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258156 + ... + 274068.

It is an arithmetic number, because the mean of its divisors is an integer number (60871050).

Almost surely, 24234640256 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 4234640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791494400).

4234640256 is an abundant number, since it is smaller than the sum of its proper divisors (11348348544).

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

4234640256 is a wasteful number, since it uses less digits than its factorization.

4234640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4234640256 is about 65074.1135629215. The cubic root of 4234640256 is about 1617.8521879615.

The spelling of 4234640256 in words is "four billion, two hundred thirty-four million, six hundred forty thousand, two hundred fifty-six".