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348130368 = 26321274759
BaseRepresentation
bin10100110000000…
…000110001000000
3220021001212002100
4110300000301000
51203110132433
654313350400
711425026225
oct2460006100
9807055070
10348130368
11169568553
1298708400
1357180201
143434194c
1520869b13
hex14c00c40

348130368 has 84 divisors (see below), whose sum is σ = 1005921280. Its totient is φ = 115105536.

The previous prime is 348130361. The next prime is 348130379. The reversal of 348130368 is 863031843.

It is a happy number.

348130368 is a `hidden beast` number, since 348 + 1 + 303 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348130361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70773 + ... + 75531.

Almost surely, 2348130368 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 348130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502960640).

348130368 is an abundant number, since it is smaller than the sum of its proper divisors (657790912).

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

348130368 is a wasteful number, since it uses less digits than its factorization.

348130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 348130368 is about 18658.2520081598. The cubic root of 348130368 is about 703.4727888208.

The spelling of 348130368 in words is "three hundred forty-eight million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 4759 6096 8128 9144 9518 12192 14277 18288 19036 24384 28554 36576 38072 42831 57108 73152 76144 85662 114216 152288 171324 228432 304576 342648 456864 604393 685296 913728 1208786 1370592 1813179 2417572 2741184 3626358 4835144 5439537 7252716 9670288 10879074 14505432 19340576 21758148 29010864 38681152 43516296 58021728 87032592 116043456 174065184 348130368