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348855328 = 255323881
BaseRepresentation
bin10100110010110…
…001110000100000
3220022102200112201
4110302301300200
51203301332303
654341102544
711434135633
oct2462616040
9808380481
10348855328
11169a13198
12989b7a54
1357375193
143448dc1a
152095e81d
hex14cb1c20

348855328 has 36 divisors (see below), whose sum is σ = 700192458. Its totient is φ = 171092480.

The previous prime is 348855281. The next prime is 348855341. The reversal of 348855328 is 823558843.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 345513744 + 3341584 = 18588^2 + 1828^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 87948 + ... + 91828.

Almost surely, 2348855328 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 348855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350096229).

348855328 is an abundant number, since it is smaller than the sum of its proper divisors (351337130).

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

348855328 is an equidigital number, since it uses as much as digits as its factorization.

348855328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3936 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The square root of 348855328 is about 18677.6692336062. The cubic root of 348855328 is about 703.9607631369.

The spelling of 348855328 in words is "three hundred forty-eight million, eight hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2809 3881 5618 7762 11236 15524 22472 31048 44944 62096 89888 124192 205693 411386 822772 1645544 3291088 6582176 10901729 21803458 43606916 87213832 174427664 348855328