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138343452 = 223133128607
BaseRepresentation
bin10000011111011…
…11010000011100
3100122022120112120
420033233100130
5240403442302
621421102540
73266620452
oct1017572034
9318276476
10138343452
1171100535
123a3b7a50
132287a340
14145329d2
15c22a9bc
hex83ef41c

138343452 has 48 divisors (see below), whose sum is σ = 358858752. Its totient is φ = 41192640.

The previous prime is 138343451. The next prime is 138343453. The reversal of 138343452 is 254343831.

138343452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138343451) and next prime (138343453).

It is a super-2 number, since 2×1383434522 = 38277821422552608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138343451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9468 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (7476224).

Almost surely, 2138343452 is an apocalyptic number.

138343452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138343452 is an abundant number, since it is smaller than the sum of its proper divisors (220515300).

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

138343452 is a wasteful number, since it uses less digits than its factorization.

138343452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28656 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 138343452 is about 11761.9493282364. The cubic root of 138343452 is about 517.1932752622.

The spelling of 138343452 in words is "one hundred thirty-eight million, three hundred forty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 28607 57214 85821 114428 171642 343284 371891 743782 886817 1115673 1487564 1773634 2231346 2660451 3547268 4462692 5320902 10641804 11528621 23057242 34585863 46114484 69171726 138343452