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345042152 = 237133115289
BaseRepresentation
bin10100100100001…
…110110011101000
3220001020221211222
4110210032303220
51201312322102
654123241212
711356544540
oct2444166350
9801227758
10345042152
11167849304
1297679208
135663b670
1433b7a320
1520459aa2
hex1490ece8

345042152 has 64 divisors (see below), whose sum is σ = 821990400. Its totient is φ = 132088320.

The previous prime is 345042127. The next prime is 345042163. The reversal of 345042152 is 251240543.

It is a happy number.

It is a super-2 number, since 2×3450421522 = 238108173313582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14924 + ... + 30212.

It is an arithmetic number, because the mean of its divisors is an integer number (12843600).

Almost surely, 2345042152 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 345042152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410995200).

345042152 is an abundant number, since it is smaller than the sum of its proper divisors (476948248).

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

345042152 is a wasteful number, since it uses less digits than its factorization.

345042152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15342 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 345042152 is about 18575.3102800465. The cubic root of 345042152 is about 701.3864710887.

Adding to 345042152 its reverse (251240543), we get a palindrome (596282695).

The spelling of 345042152 in words is "three hundred forty-five million, forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 15289 22568 30578 61156 107023 122312 198757 214046 397514 428092 473959 795028 856184 947918 1391299 1590056 1895836 2782598 3317713 3791672 5565196 6161467 6635426 11130392 12322934 13270852 24645868 26541704 43130269 49291736 86260538 172521076 345042152