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348397152 = 25326313799
BaseRepresentation
bin10100110001000…
…001111001100000
3220021120102001020
4110301001321200
51203142202102
654323205440
711430220065
oct2461017140
9807512036
10348397152
1116972aa34
1298816880
135724477c
14343b0c6c
15208bdbbc
hex14c41e60

348397152 has 48 divisors (see below), whose sum is σ = 918086400. Its totient is φ = 115682432.

The previous prime is 348397151. The next prime is 348397163. The reversal of 348397152 is 251793843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3483971522 = 242761151043422208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348397151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18349 + ... + 32147.

It is an arithmetic number, because the mean of its divisors is an integer number (19126800).

Almost surely, 2348397152 is an apocalyptic number.

348397152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

348397152 is an abundant number, since it is smaller than the sum of its proper divisors (569689248).

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

348397152 is a wasteful number, since it uses less digits than its factorization.

348397152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14075 (or 14067 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 348397152 is about 18665.3998617763. The cubic root of 348397152 is about 703.6524412169.

The spelling of 348397152 in words is "three hundred forty-eight million, three hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 13799 25248 27598 41397 55196 82794 110392 165588 220784 331176 441568 662352 1324704 3629137 7258274 10887411 14516548 21774822 29033096 43549644 58066192 87099288 116132384 174198576 348397152