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348340392 = 23334093943
BaseRepresentation
bin10100110000110…
…100000010101000
3220021110112012000
4110300310002220
51203133343032
654322051000
711426562441
oct2460640250
9807415160
10348340392
111696a1324
12987a9a60
135722499a
14343982c8
15208abe7c
hex14c340a8

348340392 has 64 divisors (see below), whose sum is σ = 970224000. Its totient is φ = 115800192.

The previous prime is 348340379. The next prime is 348340403. The reversal of 348340392 is 293043843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 86373 + ... + 90315.

It is an arithmetic number, because the mean of its divisors is an integer number (15159750).

Almost surely, 2348340392 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 348340392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485112000).

348340392 is an abundant number, since it is smaller than the sum of its proper divisors (621883608).

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

348340392 is a wasteful number, since it uses less digits than its factorization.

348340392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 348340392 is about 18663.8793395157. The cubic root of 348340392 is about 703.6142267047.

The spelling of 348340392 in words is "three hundred forty-eight million, three hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 409 818 1227 1636 2454 3272 3681 3943 4908 7362 7886 9816 11043 11829 14724 15772 22086 23658 29448 31544 35487 44172 47316 70974 88344 94632 106461 141948 212922 283896 425844 851688 1612687 3225374 4838061 6450748 9676122 12901496 14514183 19352244 29028366 38704488 43542549 58056732 87085098 116113464 174170196 348340392