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348392 = 231137107
BaseRepresentation
bin1010101000011101000
3122200220102
41111003220
542122032
611244532
72650502
oct1250350
9580812
10348392
11218830
12149748
13c2765
1490d72
156d362
hex550e8

348392 has 32 divisors (see below), whose sum is σ = 738720. Its totient is φ = 152640.

The previous prime is 348389. The next prime is 348401. The reversal of 348392 is 293843.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348392.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3203 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2348392 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 348392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369360).

348392 is an abundant number, since it is smaller than the sum of its proper divisors (390328).

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

348392 is a wasteful number, since it uses less digits than its factorization.

348392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 348392 is about 590.2474057546. The cubic root of 348392 is about 70.3648972728.

The spelling of 348392 in words is "three hundred forty-eight thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 107 148 214 296 407 428 814 856 1177 1628 2354 3256 3959 4708 7918 9416 15836 31672 43549 87098 174196 348392