Search a number
-
+
34008886164 = 223113161136247
BaseRepresentation
bin11111101011000101…
…100110101110010100
310020210010201102100110
4133223011212232110
51024122233324124
623342400243020
72312525522421
oct375305465624
9106703642313
1034008886164
11134721475a0
126711610470
13328caa83a6
141908a32d48
15d40a57029
hex7eb166b94

34008886164 has 96 divisors (see below), whose sum is σ = 90826186752. Its totient is φ = 9809712000.

The previous prime is 34008886151. The next prime is 34008886229. The reversal of 34008886164 is 46168880043.

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, 181489 + ... + 317735.

It is an arithmetic number, because the mean of its divisors is an integer number (946106112).

Almost surely, 234008886164 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 34008886164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45413093376).

34008886164 is an abundant number, since it is smaller than the sum of its proper divisors (56817300588).

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

34008886164 is a wasteful number, since it uses less digits than its factorization.

34008886164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136357 (or 136355 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 34008886164 in words is "thirty-four billion, eight million, eight hundred eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 61 62 66 93 122 124 132 183 186 244 341 366 372 671 682 732 1023 1342 1364 1891 2013 2046 2684 3782 4026 4092 5673 7564 8052 11346 20801 22692 41602 62403 83204 124806 136247 249612 272494 408741 544988 817482 1498717 1634964 2997434 4223657 4496151 5994868 8311067 8447314 8992302 12670971 16622134 16894628 17984604 24933201 25341942 33244268 46460227 49866402 50683884 91421737 92920454 99732804 139380681 182843474 185840908 257643077 274265211 278761362 365686948 515286154 548530422 557522724 772929231 1030572308 1097060844 1545858462 2834073847 3091716924 5668147694 8502221541 11336295388 17004443082 34008886164