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34520013 = 3411174353
BaseRepresentation
bin1000001110101…
…1101111001101
32101221210120000
42003223233031
532314120023
63231514513
7566262303
oct203535715
971853500
1034520013
1118538440
12b688a39
1371c8458
144828273
15306d243
hex20ebbcd

34520013 has 80 divisors (see below), whose sum is σ = 62099136. Its totient is φ = 18869760.

The previous prime is 34519999. The next prime is 34520023. The reversal of 34520013 is 31002543.

It is not a de Polignac number, because 34520013 - 25 = 34519981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34520023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 651295 + ... + 651347.

Almost surely, 234520013 is an apocalyptic number.

34520013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34520013 is a deficient number, since it is larger than the sum of its proper divisors (27579123).

34520013 is a wasteful number, since it uses less digits than its factorization.

34520013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34520013 is about 5875.3734349401. The cubic root of 34520013 is about 325.6044388686.

Adding to 34520013 its reverse (31002543), we get a palindrome (65522556).

The spelling of 34520013 in words is "thirty-four million, five hundred twenty thousand, thirteen".

Divisors: 1 3 9 11 17 27 33 43 51 53 81 99 129 153 159 187 297 387 459 473 477 561 583 731 891 901 1161 1377 1419 1431 1683 1749 2193 2279 2703 3483 4257 4293 5049 5247 6579 6837 8041 8109 9911 12771 15147 15741 19737 20511 24123 24327 25069 29733 38313 38743 47223 59211 61533 72369 72981 75207 89199 116229 184599 217107 225621 267597 348687 426173 651321 676863 802791 1046061 1278519 2030589 3138183 3835557 11506671 34520013