Search a number
-
+
34324511334 = 23172315679337
BaseRepresentation
bin11111111101111001…
…100111101001100110
310021121010121211200120
4133331321213221212
51030244033330314
623433553222410
72323410350421
oct377571475146
9107533554616
1034324511334
1113614323443
12679b261a06
1333102b7249
1419389129b8
15d5d6008a9
hex7fde67a66

34324511334 has 64 divisors (see below), whose sum is σ = 75904045056. Its totient is φ = 10292603904.

The previous prime is 34324511303. The next prime is 34324511341. The reversal of 34324511334 is 43311542343.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34324511295 and 34324511304.

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, 3671514 + ... + 3680850.

It is an arithmetic number, because the mean of its divisors is an integer number (1186000704).

Almost surely, 234324511334 is an apocalyptic number.

34324511334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34324511334 is an abundant number, since it is smaller than the sum of its proper divisors (41579533722).

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

34324511334 is a wasteful number, since it uses less digits than its factorization.

34324511334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10949.

The product of its digits is 51840, while the sum is 33.

The spelling of 34324511334 in words is "thirty-four billion, three hundred twenty-four million, five hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 1567 2346 3134 4701 9337 9402 18674 26639 28011 36041 53278 56022 72082 79917 108123 158729 159834 214751 216246 317458 429502 476187 612697 644253 952374 1225394 1288506 1838091 3650767 3676182 7301534 10952301 14631079 21904602 29262158 43893237 87786474 248728343 336514817 497456686 673029634 746185029 1009544451 1492370058 2019088902 5720751889 11441503778 17162255667 34324511334