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345443112 = 233275911617
BaseRepresentation
bin10100100101110…
…000101100101000
3220002000022212100
4110211300230220
51201413134422
654140013400
711363134530
oct2445605450
9802008770
10345443112
11167aa2583
1297831260
135674c011
1433c424c0
15204d87ac
hex14970b28

345443112 has 96 divisors (see below), whose sum is σ = 1087444800. Its totient is φ = 97016832.

The previous prime is 345443071. The next prime is 345443143. The reversal of 345443112 is 211344543.

It is a happy number.

345443112 is a `hidden beast` number, since 3 + 4 + 544 + 3 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23928 + ... + 35544.

It is an arithmetic number, because the mean of its divisors is an integer number (11327550).

Almost surely, 2345443112 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 345443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543722400).

345443112 is an abundant number, since it is smaller than the sum of its proper divisors (742001688).

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

345443112 is a wasteful number, since it uses less digits than its factorization.

345443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11695 (or 11688 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345443112 is about 18586.0999674488. The cubic root of 345443112 is about 701.6580505208.

Adding to 345443112 its reverse (211344543), we get a palindrome (556787655).

The spelling of 345443112 in words is "three hundred forty-five million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 9912 11617 14868 23234 29736 34851 46468 69702 81319 92936 104553 139404 162638 209106 243957 278808 325276 418212 487914 650552 685403 731871 836424 975828 1370806 1463742 1951656 2056209 2741612 2927484 4112418 4797821 5483224 5854968 6168627 8224836 9595642 12337254 14393463 16449672 19191284 24674508 28786926 38382568 43180389 49349016 57573852 86360778 115147704 172721556 345443112