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34322540120 = 23511194105567
BaseRepresentation
bin11111111101110010…
…000110011001011000
310021120222220200200122
4133331302012121120
51030243032240440
623433443052412
72323354530431
oct377562063130
9107528820618
1034322540120
11136131a7440
12679a671108
13330ca76c4b
14193855c488
15d5d3617b5
hex7fdc86658

34322540120 has 64 divisors (see below), whose sum is σ = 88680268800. Its totient is φ = 11824030080.

The previous prime is 34322540093. The next prime is 34322540129. The reversal of 34322540120 is 2104522343.

It is a super-2 number, since 2×343225401202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34322540120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322540129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044424 + ... + 2061143.

It is an arithmetic number, because the mean of its divisors is an integer number (1385629200).

Almost surely, 234322540120 is an apocalyptic number.

It is an amenable number.

34322540120 is an abundant number, since it is smaller than the sum of its proper divisors (54357728680).

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

34322540120 is a wasteful number, since it uses less digits than its factorization.

34322540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105608 (or 4105604 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The spelling of 34322540120 in words is "thirty-four billion, three hundred twenty-two million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 4105567 8211134 16422268 20527835 32844536 41055670 45161237 78005773 82111340 90322474 156011546 164222680 180644948 225806185 312023092 361289896 390028865 451612370 624046184 780057730 858063503 903224740 1560115460 1716127006 1806449480 3120230920 3432254012 4290317515 6864508024 8580635030 17161270060 34322540120