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138340352 = 211312179
BaseRepresentation
bin10000011111011…
…10100000000000
3100122022102021202
420033232200000
5240403342402
621421040332
73266605433
oct1017564000
9318272252
10138340352
11710a9177
123a3b60a8
1322878ac7
141453181a
15c229b02
hex83ee800

138340352 has 48 divisors (see below), whose sum is σ = 285667200. Its totient is φ = 66908160.

The previous prime is 138340343. The next prime is 138340357. The reversal of 138340352 is 253043831.

It is not an unprimeable number, because it can be changed into a prime (138340357) 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, 62399 + ... + 64577.

It is an arithmetic number, because the mean of its divisors is an integer number (5951400).

Almost surely, 2138340352 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 138340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142833600).

138340352 is an abundant number, since it is smaller than the sum of its proper divisors (147326848).

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

138340352 is an equidigital number, since it uses as much as digits as its factorization.

138340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 138340352 is about 11761.8175466209. The cubic root of 138340352 is about 517.1894121445.

The spelling of 138340352 in words is "one hundred thirty-eight million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 2179 3968 4358 7936 8716 15872 17432 31744 34864 63488 67549 69728 135098 139456 270196 278912 540392 557824 1080784 1115648 2161568 2231296 4323136 4462592 8646272 17292544 34585088 69170176 138340352