Search a number
-
+
430078104 = 2332172315277
BaseRepresentation
bin11001101000100…
…111100010011000
31002222021020020200
4121220213202120
51340044444404
6110402022200
713441414011
oct3150474230
91088236220
10430078104
1120084a055
12100047960
136b142cb1
1441194008
1527b55839
hex19a27898

430078104 has 96 divisors (see below), whose sum is σ = 1287018720. Its totient is φ = 129051648.

The previous prime is 430078073. The next prime is 430078111. The reversal of 430078104 is 401870034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20514 + ... + 35790.

It is an arithmetic number, because the mean of its divisors is an integer number (13406445).

Almost surely, 2430078104 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 430078104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643509360).

430078104 is an abundant number, since it is smaller than the sum of its proper divisors (856940616).

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

430078104 is a wasteful number, since it uses less digits than its factorization.

430078104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15329 (or 15322 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 430078104 is about 20738.3245224873. The cubic root of 430078104 is about 754.8299276293.

The spelling of 430078104 in words is "four hundred thirty million, seventy-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4692 7038 9384 14076 15277 28152 30554 45831 61108 91662 122216 137493 183324 259709 274986 351371 366648 519418 549972 702742 779127 1038836 1054113 1099944 1405484 1558254 2077672 2108226 2337381 2810968 3116508 3162339 4216452 4674762 5973307 6233016 6324678 8432904 9349524 11946614 12649356 17919921 18699048 23893228 25298712 35839842 47786456 53759763 71679684 107519526 143359368 215039052 430078104