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34280080464 = 24376712311237
BaseRepresentation
bin11111111011010000…
…001000010001010000
310021111001000111222210
4133323100020101100
51030201200033324
623425325032120
72322330606360
oct377320102120
9107431014883
1034280080464
11135a1236913
1267883b5640
13330402b9a6
141932a689a0
15d59775d29
hex7fb408450

34280080464 has 160 divisors (see below), whose sum is σ = 102884970496. Its totient is φ = 9632494080.

The previous prime is 34280080453. The next prime is 34280080477. The reversal of 34280080464 is 46408008243.

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, 27711654 + ... + 27712890.

Almost surely, 234280080464 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 34280080464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442485248).

34280080464 is an abundant number, since it is smaller than the sum of its proper divisors (68604890032).

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

34280080464 is a wasteful number, since it uses less digits than its factorization.

34280080464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 34280080464 in words is "thirty-four billion, two hundred eighty million, eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1231 1237 1407 1608 1876 2462 2474 2814 3216 3693 3711 3752 4924 4948 5628 7386 7422 7504 8617 8659 9848 9896 11256 14772 14844 17234 17318 19696 19792 22512 25851 25977 29544 29688 34468 34636 51702 51954 59088 59376 68936 69272 82477 82879 103404 103908 137872 138544 164954 165758 206808 207816 247431 248637 329908 331516 413616 415632 494862 497274 577339 580153 659816 663032 989724 994548 1154678 1160306 1319632 1326064 1522747 1732017 1740459 1979448 1989096 2309356 2320612 3045494 3464034 3480918 3958896 3978192 4568241 4618712 4641224 6090988 6928068 6961836 9136482 9237424 9282448 10659229 12181976 13856136 13923672 18272964 21318458 24363952 27712272 27847344 31977687 36545928 42636916 63955374 73091856 85273832 102024049 127910748 170547664 204048098 255821496 306072147 408096196 511642992 612144294 714168343 816192392 1224288588 1428336686 1632384784 2142505029 2448577176 2856673372 4285010058 4897154352 5713346744 8570020116 11426693488 17140040232 34280080464