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348368904 = 233313971279
BaseRepresentation
bin10100110000111…
…011000000001000
3220021111222022000
4110300323000020
51203140301104
654322431000
711430041532
oct2460730010
9807458260
10348368904
11169710794
1298802460
1357234960
14343a4852
15208b5639
hex14c3b008

348368904 has 128 divisors (see below), whose sum is σ = 1053696000. Its totient is φ = 106002432.

The previous prime is 348368903. The next prime is 348368939. The reversal of 348368904 is 409863843.

It is a super-2 number, since 2×3483689042 = 242721786548322432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348368904.

It is not an unprimeable number, because it can be changed into a prime (348368903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271737 + ... + 273015.

It is an arithmetic number, because the mean of its divisors is an integer number (8232000).

Almost surely, 2348368904 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 348368904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526848000).

348368904 is an abundant number, since it is smaller than the sum of its proper divisors (705327096).

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

348368904 is a wasteful number, since it uses less digits than its factorization.

348368904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 348368904 is about 18664.6431522277. The cubic root of 348368904 is about 703.6334233506.

The spelling of 348368904 in words is "three hundred forty-eight million, three hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 97 104 108 117 156 194 216 234 291 312 351 388 468 582 702 776 873 936 1164 1261 1279 1404 1746 2328 2522 2558 2619 2808 3492 3783 3837 5044 5116 5238 6984 7566 7674 10088 10232 10476 11349 11511 15132 15348 16627 20952 22698 23022 30264 30696 33254 34047 34533 45396 46044 49881 66508 68094 69066 90792 92088 99762 124063 133016 136188 138132 149643 199524 248126 272376 276264 299286 372189 399048 448929 496252 598572 744378 897858 992504 1116567 1197144 1488756 1612819 1795716 2233134 2977512 3225638 3349701 3591432 4466268 4838457 6451276 6699402 8932536 9676914 12902552 13398804 14515371 19353828 26797608 29030742 38707656 43546113 58061484 87092226 116122968 174184452 348368904