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349029876 = 2231323891093
BaseRepresentation
bin10100110011011…
…100010111110100
3220022202112222110
4110303130113310
51203322424001
654344531020
711435463546
oct2463342764
9808675873
10349029876
1116a022348
1298a80a70
1357406770
14344d7696
15209963d6
hex14cdc5f4

349029876 has 96 divisors (see below), whose sum is σ = 926311680. Its totient is φ = 101477376.

The previous prime is 349029869. The next prime is 349029893. The reversal of 349029876 is 678920943.

It is a congruent number.

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, 318786 + ... + 319878.

It is an arithmetic number, because the mean of its divisors is an integer number (9649080).

Almost surely, 2349029876 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 349029876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463155840).

349029876 is an abundant number, since it is smaller than the sum of its proper divisors (577281804).

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

349029876 is a wasteful number, since it uses less digits than its factorization.

349029876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 349029876 is about 18682.3412879650. The cubic root of 349029876 is about 704.0781512974.

The spelling of 349029876 in words is "three hundred forty-nine million, twenty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 89 92 138 156 178 267 276 299 356 534 598 897 1068 1093 1157 1196 1794 2047 2186 2314 3279 3471 3588 4094 4372 4628 6141 6558 6942 8188 12282 13116 13884 14209 24564 25139 26611 28418 42627 50278 53222 56836 75417 79833 85254 97277 100556 106444 150834 159666 170508 194554 291831 301668 319332 326807 389108 583662 653614 980421 1167324 1264601 1307228 1960842 2237371 2529202 3793803 3921684 4474742 5058404 6712113 7587606 8949484 13424226 15175212 26848452 29085823 58171646 87257469 116343292 174514938 349029876