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34164010023 = 31113431852009
BaseRepresentation
bin11111110100010101…
…010110110000100111
310021011221121112021120
4133310111112300213
51024431441310043
623410021145023
72316421202523
oct376425266047
9107157545246
1034164010023
1113541769430
12675555b173
1332b5c7c560
141921492d83
15d4e499983
hex7f4556c27

34164010023 has 32 divisors (see below), whose sum is σ = 54760231680. Its totient is φ = 18668240640.

The previous prime is 34164010021. The next prime is 34164010037. The reversal of 34164010023 is 32001046143.

It is not a de Polignac number, because 34164010023 - 21 = 34164010021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34164009975 and 34164010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907558 + ... + 944451.

It is an arithmetic number, because the mean of its divisors is an integer number (1711257240).

Almost surely, 234164010023 is an apocalyptic number.

34164010023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34164010023 is a deficient number, since it is larger than the sum of its proper divisors (20596221657).

34164010023 is a wasteful number, since it uses less digits than its factorization.

34164010023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852079.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34164010023 its reverse (32001046143), we get a palindrome (66165056166).

The spelling of 34164010023 in words is "thirty-four billion, one hundred sixty-four million, ten thousand, twenty-three".

Divisors: 1 3 11 13 33 39 43 129 143 429 473 559 1419 1677 6149 18447 1852009 5556027 20372099 24076117 61116297 72228351 79636387 238909161 264837287 794511861 876000257 1035273031 2628000771 3105819093 11388003341 34164010023