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348630084 = 2232111751787
BaseRepresentation
bin10100110001111…
…010110001000100
3220022000020120100
4110301322301010
51203222130314
654332204100
711432210145
oct2461726104
9808006510
10348630084
11169879a40
1298909630
13572c67ba
1434431acc
1520917c09
hex14c7ac44

348630084 has 72 divisors (see below), whose sum is σ = 1017944928. Its totient is φ = 99429120.

The previous prime is 348630071. The next prime is 348630109. The reversal of 348630084 is 480036843.

348630084 is a `hidden beast` number, since 348 + 6 + 300 + 8 + 4 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19162 + ... + 32625.

It is an arithmetic number, because the mean of its divisors is an integer number (14138124).

Almost surely, 2348630084 is an apocalyptic number.

348630084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

348630084 is an abundant number, since it is smaller than the sum of its proper divisors (669314844).

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

348630084 is a wasteful number, since it uses less digits than its factorization.

348630084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51825 (or 51820 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 348630084 is about 18671.6384926444. The cubic root of 348630084 is about 703.8092226903.

The spelling of 348630084 in words is "three hundred forty-eight million, six hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 51787 103574 155361 207148 310722 466083 569657 621444 880379 932166 1139314 1708971 1760758 1864332 2278628 2641137 3417942 3521516 5126913 5282274 6835884 7923411 9684169 10253826 10564548 15846822 19368338 20507652 29052507 31693644 38736676 58105014 87157521 116210028 174315042 348630084