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34024805376 = 210389124447
BaseRepresentation
bin11111101100000010…
…010101010000000000
310020211020200012101220
4133230002111100000
51024140322233001
623344125355040
72313111034212
oct375402252000
9106736605356
1034024805376
111348012a971
126716a08a80
133293190243
14190abb85b2
15d4214dc36
hex7ec095400

34024805376 has 88 divisors (see below), whose sum is σ = 91708220160. Its totient is φ = 11214077952.

The previous prime is 34024805359. The next prime is 34024805401. The reversal of 34024805376 is 67350842043.

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 7 ways as a sum of consecutive naturals, for example, 211185 + ... + 335631.

Almost surely, 234024805376 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 34024805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45854110080).

34024805376 is an abundant number, since it is smaller than the sum of its proper divisors (57683414784).

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

34024805376 is a wasteful number, since it uses less digits than its factorization.

34024805376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124559 (or 124541 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 34024805376 in words is "thirty-four billion, twenty-four million, eight hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2136 2848 3072 4272 5696 8544 11392 17088 22784 34176 45568 68352 91136 124447 136704 248894 273408 373341 497788 746682 995576 1493364 1991152 2986728 3982304 5973456 7964608 11075783 11946912 15929216 22151566 23893824 31858432 33227349 44303132 47787648 63716864 66454698 88606264 95575296 127433728 132909396 177212528 191150592 265818792 354425056 382301184 531637584 708850112 1063275168 1417700224 2126550336 2835400448 4253100672 5670800896 8506201344 11341601792 17012402688 34024805376