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157434440 = 2353935861
BaseRepresentation
bin10010110001001…
…00001001001000
3101222020111110012
421120210021020
5310300400230
623342211052
73621112352
oct1130441110
9358214405
10157434440
118095a909
1244883a88
1326802a97
1416ca20d2
15dc4c395
hex9624248

157434440 has 16 divisors (see below), whose sum is σ = 354227580. Its totient is φ = 62973760.

The previous prime is 157434427. The next prime is 157434449. The reversal of 157434440 is 44434751.

It can be written as a sum of positive squares in 2 ways, for example, as 146845924 + 10588516 = 12118^2 + 3254^2 .

It is a super-4 number, since 4×1574344404 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 157434397 and 157434406.

It is not an unprimeable number, because it can be changed into a prime (157434449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1967891 + ... + 1967970.

Almost surely, 2157434440 is an apocalyptic number.

157434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157434440 is an abundant number, since it is smaller than the sum of its proper divisors (196793140).

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

157434440 is a wasteful number, since it uses less digits than its factorization.

157434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935872 (or 3935868 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 157434440 is about 12547.2881532226. The cubic root of 157434440 is about 539.9662073046.

The spelling of 157434440 in words is "one hundred fifty-seven million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3935861 7871722 15743444 19679305 31486888 39358610 78717220 157434440