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348978968 = 231337891019
BaseRepresentation
bin10100110011001…
…111111100011000
3220022122222010222
4110303033330120
51203314311333
654343455212
711435162252
oct2463177430
9808588128
10348978968
11169a98078
1298a57508
13573b9540
14344c2cd2
1520986298
hex14ccff18

348978968 has 64 divisors (see below), whose sum is σ = 732564000. Its totient is φ = 154801152.

The previous prime is 348978961. The next prime is 348978979. The reversal of 348978968 is 869879843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 348978968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348978961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341963 + ... + 342981.

Almost surely, 2348978968 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 348978968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366282000).

348978968 is an abundant number, since it is smaller than the sum of its proper divisors (383585032).

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

348978968 is a wasteful number, since it uses less digits than its factorization.

348978968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 62.

The square root of 348978968 is about 18680.9787752141. The cubic root of 348978968 is about 704.0439183603.

The spelling of 348978968 in words is "three hundred forty-eight million, nine hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 89 104 148 178 296 356 481 712 962 1019 1157 1924 2038 2314 3293 3848 4076 4628 6586 8152 9256 13172 13247 26344 26494 37703 42809 52988 75406 85618 90691 105976 150812 171236 181382 301624 342472 362764 490139 725528 980278 1178983 1960556 2357966 3355567 3921112 4715932 6711134 9431864 13422268 26844536 43622371 87244742 174489484 348978968