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348345368 = 237172391531
BaseRepresentation
bin10100110000110…
…101010000011000
3220021110210000022
4110300311100120
51203134022433
654322130012
711426613110
oct2460652030
9807423008
10348345368
111696a5038
12987b0908
1357227027
143439a040
15208ad698
hex14c35418

348345368 has 64 divisors (see below), whose sum is σ = 794188800. Its totient is φ = 139829760.

The previous prime is 348345337. The next prime is 348345391. The reversal of 348345368 is 863543843.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 226763 + ... + 228293.

It is an arithmetic number, because the mean of its divisors is an integer number (12409200).

Almost surely, 2348345368 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 348345368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397094400).

348345368 is an abundant number, since it is smaller than the sum of its proper divisors (445843432).

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

348345368 is a wasteful number, since it uses less digits than its factorization.

348345368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The square root of 348345368 is about 18664.0126446592. The cubic root of 348345368 is about 703.6175770365.

The spelling of 348345368 in words is "three hundred forty-eight million, three hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 239 476 478 952 956 1531 1673 1912 3062 3346 4063 6124 6692 8126 10717 12248 13384 16252 21434 26027 28441 32504 42868 52054 56882 85736 104108 113764 182189 208216 227528 364378 365909 728756 731818 1457512 1463636 2561363 2927272 5122726 6220453 10245452 12440906 20490904 24881812 43543171 49763624 87086342 174172684 348345368