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348364340 = 225177114431
BaseRepresentation
bin10100110000111…
…001111000110100
3220021111202000222
4110300321320310
51203140124330
654322353512
711430022322
oct2460717064
9807452028
10348364340
11169708315
12987bb898
135723285c
14343a2d12
15208b40e5
hex14c39e34

348364340 has 48 divisors (see below), whose sum is σ = 785562624. Its totient is φ = 129292800.

The previous prime is 348364337. The next prime is 348364343. The reversal of 348364340 is 43463843.

It is an interprime number because it is at equal distance from previous prime (348364337) and next prime (348364343).

It is a self number, because there is not a number n which added to its sum of digits gives 348364340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348364343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16925 + ... + 31355.

It is an arithmetic number, because the mean of its divisors is an integer number (16365888).

Almost surely, 2348364340 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 348364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392781312).

348364340 is an abundant number, since it is smaller than the sum of its proper divisors (437198284).

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

348364340 is a wasteful number, since it uses less digits than its factorization.

348364340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14528 (or 14526 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 348364340 is about 18664.5208885736. The cubic root of 348364340 is about 703.6303505572.

The spelling of 348364340 in words is "three hundred forty-eight million, three hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 12070 14431 24140 28862 57724 72155 144310 245327 288620 490654 981308 1024601 1226635 2049202 2453270 4098404 4906540 5123005 10246010 17418217 20492020 34836434 69672868 87091085 174182170 348364340