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140324352 = 293731421
BaseRepresentation
bin10000101110100…
…10111000000000
3100210001012211020
420113102320000
5241410334402
621531345440
73322510620
oct1027227000
9323035736
10140324352
1172233843
123abb2280
13230c1b7c
14148ca880
15c4bc8bc
hex85d2e00

140324352 has 160 divisors (see below), whose sum is σ = 442066944. Its totient is φ = 38707200.

The previous prime is 140324347. The next prime is 140324369. The reversal of 140324352 is 253423041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333102 + ... + 333522.

Almost surely, 2140324352 is an apocalyptic number.

140324352 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 140324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221033472).

140324352 is an abundant number, since it is smaller than the sum of its proper divisors (301742592).

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

140324352 is an equidigital number, since it uses as much as digits as its factorization.

140324352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 140324352 is about 11845.8580102920. The cubic root of 140324352 is about 519.6500999161.

Adding to 140324352 its reverse (253423041), we get a palindrome (393747393).

The spelling of 140324352 in words is "one hundred forty million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 421 434 448 496 512 651 672 744 768 842 868 896 992 1263 1302 1344 1488 1536 1684 1736 1792 1984 2526 2604 2688 2947 2976 3368 3472 3584 3968 5052 5208 5376 5894 5952 6736 6944 7936 8841 10104 10416 10752 11788 11904 13051 13472 13888 15872 17682 20208 20832 23576 23808 26102 26944 27776 35364 39153 40416 41664 47152 47616 52204 53888 55552 70728 78306 80832 83328 91357 94304 104408 107776 111104 141456 156612 161664 166656 182714 188608 208816 215552 274071 282912 313224 323328 333312 365428 377216 417632 548142 565824 626448 646656 730856 754432 835264 1096284 1131648 1252896 1461712 1508864 1670528 2192568 2263296 2505792 2923424 3341056 4385136 4526592 5011584 5846848 6682112 8770272 10023168 11693696 17540544 20046336 23387392 35081088 46774784 70162176 140324352