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34102244232 = 2332729666169
BaseRepresentation
bin11111110000101001…
…101111001110001000
310021000122101111112200
4133300221233032020
51024320133303412
623355533240200
72315041202400
oct376051571610
9107018344480
1034102244232
111350a911921
126738933060
1332a6234954
1419171b5800
15d48d489dc
hex7f0a6f388

34102244232 has 72 divisors (see below), whose sum is σ = 107439479550. Its totient is φ = 9743497344.

The previous prime is 34102244207. The next prime is 34102244243. The reversal of 34102244232 is 23244220143.

34102244232 is a `hidden beast` number, since 3 + 4 + 10 + 224 + 423 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19643143716 + 14459100516 = 140154^2 + 120246^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 34102244196 and 34102244205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4829557 + ... + 4836612.

Almost surely, 234102244232 is an apocalyptic number.

It is an amenable number.

34102244232 is an abundant number, since it is smaller than the sum of its proper divisors (73337235318).

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

34102244232 is a wasteful number, since it uses less digits than its factorization.

34102244232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666195 (or 9666181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34102244232 its reverse (23244220143), we get a palindrome (57346464375).

The spelling of 34102244232 in words is "thirty-four billion, one hundred two million, two hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 9666169 19332338 28998507 38664676 57997014 67663183 77329352 86995521 115994028 135326366 173991042 202989549 231988056 270652732 347982084 405979098 473642281 541305464 608968647 695964168 811958196 947284562 1217937294 1420926843 1623916392 1894569124 2435874588 2841853686 3789138248 4262780529 4871749176 5683707372 8525561058 11367414744 17051122116 34102244232