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348347868 = 2231123171109
BaseRepresentation
bin10100110000110…
…101110111011100
3220021110220102220
4110300311313130
51203134112433
654322145340
711426623311
oct2460656734
9807426386
10348347868
111696a6a00
12987b2250
13572281cb
143439ad08
15208ae2b3
hex14c35ddc

348347868 has 144 divisors (see below), whose sum is σ = 943810560. Its totient is φ = 99792000.

The previous prime is 348347861. The next prime is 348347873. The reversal of 348347868 is 868743843.

It is a self number, because there is not a number n which added to its sum of digits gives 348347868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348347861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195798 + ... + 3195906.

It is an arithmetic number, because the mean of its divisors is an integer number (6554240).

Almost surely, 2348347868 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 348347868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471905280).

348347868 is an abundant number, since it is smaller than the sum of its proper divisors (595462692).

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

348347868 is a wasteful number, since it uses less digits than its factorization.

348347868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 348347868 is about 18664.0796183471. The cubic root of 348347868 is about 703.6192602700.

The spelling of 348347868 in words is "three hundred forty-eight million, three hundred forty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 109 121 124 132 142 186 213 218 242 284 327 341 363 372 426 436 484 654 682 726 781 852 1023 1199 1308 1364 1452 1562 2046 2201 2343 2398 3124 3379 3597 3751 4092 4402 4686 4796 6603 6758 7194 7502 7739 8591 8804 9372 10137 11253 13189 13206 13516 14388 15004 15478 17182 20274 22506 23217 24211 25773 26378 26412 30956 34364 37169 39567 40548 45012 46434 48422 51546 52756 72633 74338 79134 85129 92868 96844 103092 111507 145266 148676 158268 170258 223014 239909 255387 266321 290532 340516 408859 446028 479818 510774 532642 719727 798963 817718 936419 959636 1021548 1065284 1226577 1439454 1597926 1635436 1872838 2453154 2638999 2809257 2878908 3195852 3745676 4906308 5277998 5618514 7916997 10555996 11237028 15833994 29028989 31667988 58057978 87086967 116115956 174173934 348347868