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138350352 = 24371753457
BaseRepresentation
bin10000011111100…
…00111100010000
3100122022221000010
420033300330100
5240404202402
621421154520
73266646540
oct1017607420
9318287003
10138350352
1171105738
123a3bba40
132288051a
1414535320
15c22ca6c
hex83f0f10

138350352 has 160 divisors (see below), whose sum is σ = 441614592. Its totient is φ = 36421632.

The previous prime is 138350351. The next prime is 138350383. The reversal of 138350352 is 253053831.

It is not an unprimeable number, because it can be changed into a prime (138350351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302508 + ... + 302964.

Almost surely, 2138350352 is an apocalyptic number.

138350352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220807296).

138350352 is an abundant number, since it is smaller than the sum of its proper divisors (303264240).

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

138350352 is a wasteful number, since it uses less digits than its factorization.

138350352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 138350352 is about 11762.2426433057. The cubic root of 138350352 is about 517.2018736074.

The spelling of 138350352 in words is "one hundred thirty-eight million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 53 56 68 84 102 106 112 119 136 159 168 204 212 238 272 318 336 357 371 408 424 457 476 636 714 742 816 848 901 914 952 1113 1272 1371 1428 1484 1802 1828 1904 2226 2544 2703 2742 2856 2968 3199 3604 3656 4452 5406 5484 5712 5936 6307 6398 7208 7312 7769 8904 9597 10812 10968 12614 12796 14416 15538 17808 18921 19194 21624 21936 23307 24221 25228 25592 31076 37842 38388 43248 46614 48442 50456 51184 54383 62152 72663 75684 76776 93228 96884 100912 108766 124304 145326 151368 153552 163149 169547 186456 193768 217532 290652 302736 326298 339094 372912 387536 411757 435064 508641 581304 652596 678188 823514 870128 1017282 1162608 1235271 1305192 1356376 1647028 2034564 2470542 2610384 2712752 2882299 3294056 4069128 4941084 5764598 6588112 8138256 8646897 9882168 11529196 17293794 19764336 23058392 34587588 46116784 69175176 138350352