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342875312 = 24132177459
BaseRepresentation
bin10100011011111…
…101110010110000
3212220011212111122
4110123331302300
51200234002222
654005001412
711332251323
oct2433756260
9786155448
10342875312
111665a932a
12969b3268
1356060300
14337747ba
152017ca42
hex146fdcb0

342875312 has 60 divisors (see below), whose sum is σ = 761770440. Its totient is φ = 148921344.

The previous prime is 342875303. The next prime is 342875347. The reversal of 342875312 is 213578243.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42239 + ... + 49697.

It is an arithmetic number, because the mean of its divisors is an integer number (12696174).

Almost surely, 2342875312 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 342875312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380885220).

342875312 is an abundant number, since it is smaller than the sum of its proper divisors (418895128).

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

342875312 is a wasteful number, since it uses less digits than its factorization.

342875312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 7491 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 342875312 is about 18516.8926118828. The cubic root of 342875312 is about 699.9151679510.

The spelling of 342875312 in words is "three hundred forty-two million, eight hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1768 2704 2873 3536 5746 7459 11492 14918 22984 29836 45968 59672 96967 119344 126803 193934 253606 387868 507212 775736 1014424 1260571 1551472 1648439 2028848 2521142 3296878 5042284 6593756 10084568 13187512 20169136 21429707 26375024 42859414 85718828 171437656 342875312