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348828312 = 23376773067
BaseRepresentation
bin10100110010101…
…011001010011000
3220022101022111010
4110302223022120
51203300001222
654340333520
711433664110
oct2462531230
9808338433
10348828312
111699a4968
12989a42a0
1357365ab1
1434484040
152095680c
hex14cab298

348828312 has 64 divisors (see below), whose sum is σ = 998449920. Its totient is φ = 99485568.

The previous prime is 348828301. The next prime is 348828323. The reversal of 348828312 is 213828843.

348828312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (348828301) and next prime (348828323).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 112203 + ... + 115269.

It is an arithmetic number, because the mean of its divisors is an integer number (15600780).

Almost surely, 2348828312 is an apocalyptic number.

It is an amenable number.

348828312 is an abundant number, since it is smaller than the sum of its proper divisors (649621608).

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

348828312 is a wasteful number, since it uses less digits than its factorization.

348828312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3756 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 348828312 is about 18676.9460030274. The cubic root of 348828312 is about 703.9425906612.

The spelling of 348828312 in words is "three hundred forty-eight million, eight hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 677 1354 2031 2708 3067 4062 4739 5416 6134 8124 9201 9478 12268 14217 16248 18402 18956 21469 24536 28434 36804 37912 42938 56868 64407 73608 85876 113736 128814 171752 257628 515256 2076359 4152718 6229077 8305436 12458154 14534513 16610872 24916308 29069026 43603539 49832616 58138052 87207078 116276104 174414156 348828312