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34235253243 = 3267331317137
BaseRepresentation
bin11111111000100101…
…001000000111111011
310021100220200001121100
4133320211020013323
51030103211100433
623421044142443
72321244564642
oct377045100773
9107326601540
1034235253243
11135789a9524
126775397a23
1332c7964bc9
14192ab1a359
15d5586db13
hex7f89481fb

34235253243 has 24 divisors (see below), whose sum is σ = 50207073488. Its totient is φ = 22474755072.

The previous prime is 34235253229. The next prime is 34235253271.

It is a happy number.

34235253243 is a `hidden beast` number, since 34 + 2 + 3 + 52 + 532 + 43 = 666.

34235253243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34235253243 - 221 = 34233156091 is a prime.

It is a super-2 number, since 2×342352532432 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34235253198 and 34235253207.

It is not an unprimeable number, because it can be changed into a prime (34235253343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989171 + ... + 2006307.

Almost surely, 234235253243 is an apocalyptic number.

34235253243 is a deficient number, since it is larger than the sum of its proper divisors (15971820245).

34235253243 is a wasteful number, since it uses less digits than its factorization.

34235253243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20523 (or 20520 counting only the distinct ones).

The product of its digits is 259200, while the sum is 36.

The spelling of 34235253243 in words is "thirty-four billion, two hundred thirty-five million, two hundred fifty-three thousand, two hundred forty-three".

Divisors: 1 3 9 67 201 603 3313 9939 17137 29817 51411 154233 221971 665913 1148179 1997739 3444537 10333611 56774881 170324643 510973929 3803917027 11411751081 34235253243