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34300234023 = 31143175313789
BaseRepresentation
bin11111111100011101…
…000000100100100111
310021112102221102110220
4133330131000210213
51030221324442043
623431325015423
72322664115166
oct377435004447
9107472842426
1034300234023
1113601651550
1267930b4573
133308266c83
1419355d33dd
15d5b407483
hex7fc740927

34300234023 has 32 divisors (see below), whose sum is σ = 51084337920. Its totient is φ = 20291523840.

The previous prime is 34300234019. The next prime is 34300234051. The reversal of 34300234023 is 32043200343.

It is not a de Polignac number, because 34300234023 - 22 = 34300234019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34300233984 and 34300234002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34300234013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2480613 + ... + 2494401.

It is an arithmetic number, because the mean of its divisors is an integer number (1596385560).

Almost surely, 234300234023 is an apocalyptic number.

34300234023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34300234023 is a deficient number, since it is larger than the sum of its proper divisors (16784103897).

34300234023 is a wasteful number, since it uses less digits than its factorization.

34300234023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15599.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34300234023 its reverse (32043200343), we get a palindrome (66343434366).

The spelling of 34300234023 in words is "thirty-four billion, three hundred million, two hundred thirty-four thousand, twenty-three".

Divisors: 1 3 11 33 43 129 473 1419 1753 5259 13789 19283 41367 57849 75379 151679 226137 455037 592927 829169 1778781 2487507 6522197 19566591 24172117 72516351 265893287 797679861 1039401031 3118203093 11433411341 34300234023