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345864232 = 237107197293
BaseRepresentation
bin10100100111010…
…111100000101000
3220002210201112101
4110213113200220
51202020123412
654153023144
711366540350
oct2447274050
9802721471
10345864232
1116825aa0a
12979b4ab4
13568688bc
1433d11b60
152056d457
hex149d7828

345864232 has 64 divisors (see below), whose sum is σ = 754427520. Its totient is φ = 145598208.

The previous prime is 345864229. The next prime is 345864263. The reversal of 345864232 is 232468543.

345864232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 345864191 and 345864200.

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, 1180278 + ... + 1180570.

It is an arithmetic number, because the mean of its divisors is an integer number (11787930).

Almost surely, 2345864232 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 345864232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377213760).

345864232 is an abundant number, since it is smaller than the sum of its proper divisors (408563288).

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

345864232 is a wasteful number, since it uses less digits than its factorization.

345864232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 345864232 is about 18597.4254132124. The cubic root of 345864232 is about 701.9430586141.

The spelling of 345864232 in words is "three hundred forty-five million, eight hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 107 197 214 293 394 428 586 749 788 856 1172 1379 1498 1576 2051 2344 2758 2996 4102 5516 5992 8204 11032 16408 21079 31351 42158 57721 62702 84316 115442 125404 147553 168632 219457 230884 250808 295106 404047 438914 461768 590212 808094 877828 1180424 1616188 1755656 3232376 6176147 12352294 24704588 43233029 49409176 86466058 172932116 345864232