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34020870864 = 2436789118861
BaseRepresentation
bin11111101011110011…
…010100101011010000
310020210222021022021020
4133223303110223100
51024133320331424
623343505155440
72313032426301
oct375363245320
9106728238236
1034020870864
1113478992902
12671562bb80
133292413426
14190a4727a8
15d41b23079
hex7ebcd4ad0

34020870864 has 80 divisors (see below), whose sum is σ = 90201994560. Its totient is φ = 11045422080.

The previous prime is 34020870859. The next prime is 34020870881. The reversal of 34020870864 is 46807802043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226794 + ... + 345654.

It is an arithmetic number, because the mean of its divisors is an integer number (1127524932).

Almost surely, 234020870864 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 34020870864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100997280).

34020870864 is an abundant number, since it is smaller than the sum of its proper divisors (56181123696).

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

34020870864 is a wasteful number, since it uses less digits than its factorization.

34020870864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119028 (or 119022 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 34020870864 in words is "thirty-four billion, twenty million, eight hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 89 134 178 201 267 268 356 402 534 536 712 804 1068 1072 1424 1608 2136 3216 4272 5963 11926 17889 23852 35778 47704 71556 95408 118861 143112 237722 286224 356583 475444 713166 950888 1426332 1901776 2852664 5705328 7963687 10578629 15927374 21157258 23891061 31735887 31854748 42314516 47782122 63471774 63709496 84629032 95564244 126943548 127418992 169258064 191128488 253887096 382256976 507774192 708768143 1417536286 2126304429 2835072572 4252608858 5670145144 8505217716 11340290288 17010435432 34020870864