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348664740 = 223553831321
BaseRepresentation
bin10100110010000…
…011001110100100
3220022002000002220
4110302003032210
51203224232430
654333032340
711432413164
oct2462031644
9808060086
10348664740
111698a2a86
12989256b0
13573094c8
14344405a4
1520923110
hex14c833a4

348664740 has 96 divisors (see below), whose sum is σ = 1007427456. Its totient is φ = 90055680.

The previous prime is 348664711. The next prime is 348664783. The reversal of 348664740 is 47466843.

It is a junction number, because it is equal to n+sod(n) for n = 348664692 and 348664701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263280 + ... + 264600.

It is an arithmetic number, because the mean of its divisors is an integer number (10494036).

Almost surely, 2348664740 is an apocalyptic number.

348664740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348664740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503713728).

348664740 is an abundant number, since it is smaller than the sum of its proper divisors (658762716).

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

348664740 is a wasteful number, since it uses less digits than its factorization.

348664740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 348664740 is about 18672.5665081156. The cubic root of 348664740 is about 703.8325429232.

The spelling of 348664740 in words is "three hundred forty-eight million, six hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 83 106 159 166 212 249 265 318 332 415 498 530 636 795 830 996 1060 1245 1321 1590 1660 2490 2642 3180 3963 4399 4980 5284 6605 7926 8798 13197 13210 15852 17596 19815 21995 26394 26420 39630 43990 52788 65985 70013 79260 87980 109643 131970 140026 210039 219286 263940 280052 328929 350065 420078 438572 548215 657858 700130 840156 1050195 1096430 1315716 1400260 1644645 2100390 2192860 3289290 4200780 5811079 6578580 11622158 17433237 23244316 29055395 34866474 58110790 69732948 87166185 116221580 174332370 348664740