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348634368 = 2834172343
BaseRepresentation
bin10100110001111…
…011110100000000
3220022000110110000
4110301323310000
51203222244433
654332240000
711432225505
oct2461736400
9808013400
10348634368
11169882185
1298910000
13572c8734
14344334ac
1520919113
hex14c7bd00

348634368 has 360 divisors, whose sum is σ = 1175283648. Its totient is φ = 102187008.

The previous prime is 348634367. The next prime is 348634369. The reversal of 348634368 is 863436843.

348634368 is a `hidden beast` number, since 3 + 4 + 8 + 634 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (348634367) and next prime (348634369).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348634367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8107755 + ... + 8107797.

Almost surely, 2348634368 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 348634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587641824).

348634368 is an abundant number, since it is smaller than the sum of its proper divisors (826649280).

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

348634368 is a wasteful number, since it uses less digits than its factorization.

348634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 348634368 is about 18671.7532117367. The cubic root of 348634368 is about 703.8121055036.

The spelling of 348634368 in words is "three hundred forty-eight million, six hundred thirty-four thousand, three hundred sixty-eight".