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34330233441 = 3722633132837
BaseRepresentation
bin11111111110001111…
…011100101001100001
310021121112101112221110
4133332033130221201
51030302014432231
623434320013533
72323510112100
oct377617345141
9107545345843
1034330233441
1113617581559
1267a11612a9
13331153b8ca
1419395a2037
15d5dd81046
hex7fe3dca61

34330233441 has 48 divisors (see below), whose sum is σ = 53639017344. Its totient is φ = 19473382656.

The previous prime is 34330233397. The next prime is 34330233461. The reversal of 34330233441 is 14433203343.

It is not a de Polignac number, because 34330233441 - 214 = 34330217057 is a prime.

It is a super-2 number, since 2×343302334412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34330233399 and 34330233408.

It is not an unprimeable number, because it can be changed into a prime (34330233461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12099475 + ... + 12102311.

It is an arithmetic number, because the mean of its divisors is an integer number (1117479528).

Almost surely, 234330233441 is an apocalyptic number.

It is an amenable number.

34330233441 is a deficient number, since it is larger than the sum of its proper divisors (19308783903).

34330233441 is a wasteful number, since it uses less digits than its factorization.

34330233441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34330233441 its reverse (14433203343), we get a palindrome (48763436784).

The spelling of 34330233441 in words is "thirty-four billion, three hundred thirty million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 7 21 49 147 263 313 789 939 1841 2191 2837 5523 6573 8511 12887 15337 19859 38661 46011 59577 82319 139013 246957 417039 576233 746131 887981 1728699 2238393 2663943 4033631 5222917 6215867 12100893 15668751 18647601 36560419 43511069 109681257 130533207 233539003 700617009 1634773021 4904319063 11443411147 34330233441