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157434264 = 2332132371103
BaseRepresentation
bin10010110001001…
…00000110011000
3101222020111012200
421120210012120
5310300344024
623342210200
73621112011
oct1130440630
9358214180
10157434264
118095a769
1244883960
1326802990
1416ca2008
15dc4c2c9
hex9624198

157434264 has 192 divisors, whose sum is σ = 490613760. Its totient is φ = 45239040.

The previous prime is 157434257. The next prime is 157434269. The reversal of 157434264 is 462434751.

157434264 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157434269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528437 + ... + 1528539.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2157434264 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 157434264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

157434264 is an abundant number, since it is smaller than the sum of its proper divisors (333179496).

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

157434264 is a wasteful number, since it uses less digits than its factorization.

157434264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 157434264 is about 12547.2811397529. The cubic root of 157434264 is about 539.9660060905.

The spelling of 157434264 in words is "one hundred fifty-seven million, four hundred thirty-four thousand, two hundred sixty-four".