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348690906 = 23826573
BaseRepresentation
bin10100110010001…
…001100111011010
3220022010100000000
4110302021213122
51203231102111
654333353430
711432552364
oct2462114732
9808110000
10348690906
11169910703
1298938876
13573183a5
1434449d34
152092ac56
hex14c899da

348690906 has 36 divisors (see below), whose sum is σ = 784544202. Its totient is φ = 116225928.

The previous prime is 348690887. The next prime is 348690919. The reversal of 348690906 is 609096843.

It can be written as a sum of positive squares in only one way, i.e., 178623225 + 170067681 = 13365^2 + 13041^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165 + ... + 26408.

Almost surely, 2348690906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348690906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392272101).

348690906 is an abundant number, since it is smaller than the sum of its proper divisors (435853296).

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

348690906 is an frugal number, since it uses more digits than its factorization.

348690906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26599 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 348690906 is about 18673.2671485201. The cubic root of 348690906 is about 703.8501491597.

The spelling of 348690906 in words is "three hundred forty-eight million, six hundred ninety thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 26573 53146 79719 159438 239157 478314 717471 1434942 2152413 4304826 6457239 12914478 19371717 38743434 58115151 116230302 174345453 348690906