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256334430 = 235111973943
BaseRepresentation
bin11110100011101…
…01101001011110
3122212100010201210
433101311221132
51011110200210
641234045250
76231543462
oct1721655136
9585303653
10256334430
1112176a940
1271a19826
134114c9a1
14260884a2
1517785e20
hexf475a5e

256334430 has 64 divisors (see below), whose sum is σ = 674707968. Its totient is φ = 61810560.

The previous prime is 256334423. The next prime is 256334467. The reversal of 256334430 is 34433652.

256334430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63039 + ... + 66981.

It is an arithmetic number, because the mean of its divisors is an integer number (10542312).

Almost surely, 2256334430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256334430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337353984).

256334430 is an abundant number, since it is smaller than the sum of its proper divisors (418373538).

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

256334430 is a wasteful number, since it uses less digits than its factorization.

256334430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161.

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 256334430 is about 16010.4475265372. The cubic root of 256334430 is about 635.2367976253.

The spelling of 256334430 in words is "two hundred fifty-six million, three hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 197 330 394 591 985 1182 1970 2167 2955 3943 4334 5910 6501 7886 10835 11829 13002 19715 21670 23658 32505 39430 43373 59145 65010 86746 118290 130119 216865 260238 433730 650595 776771 1301190 1553542 2330313 3883855 4660626 7767710 8544481 11651565 17088962 23303130 25633443 42722405 51266886 85444810 128167215 256334430