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34422465363 = 31113240915091
BaseRepresentation
bin100000000011101111…
…010010001101010011
310021211221221102100120
4200003233102031103
51030444122342423
623451412521323
72326010061606
oct400357221523
9107757842316
1034422465363
1113664647790
126808020243
133327692700
14194793033d
15d66eedee3
hex803bd2353

34422465363 has 48 divisors (see below), whose sum is σ = 54352932480. Its totient is φ = 19208966400.

The previous prime is 34422465361. The next prime is 34422465383. The reversal of 34422465363 is 36356422443.

It is not a de Polignac number, because 34422465363 - 21 = 34422465361 is a prime.

It is a super-3 number, since 3×344224653633 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34422465361) 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, 2273448 + ... + 2288538.

It is an arithmetic number, because the mean of its divisors is an integer number (1132352760).

Almost surely, 234422465363 is an apocalyptic number.

34422465363 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34422465363 is a deficient number, since it is larger than the sum of its proper divisors (19930467117).

34422465363 is a wasteful number, since it uses less digits than its factorization.

34422465363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15540 (or 15527 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 42.

The spelling of 34422465363 in words is "thirty-four billion, four hundred twenty-two million, four hundred sixty-five thousand, three hundred sixty-three".

Divisors: 1 3 11 13 33 39 143 169 409 429 507 1227 1859 4499 5317 5577 13497 15091 15951 45273 58487 69121 166001 175461 196183 207363 498003 588549 760331 2158013 2280993 2550379 6172219 6474039 7651137 18516657 28054169 67894409 80238847 84162507 203683227 240716541 882627317 1043105011 2647881951 3129315033 11474155121 34422465363