Search a number
-
+
34513319 is a prime number
BaseRepresentation
bin1000001110101…
…0000110100111
32101221110101002
42003222012213
532313411234
63231423515
7566233631
oct203520647
971843332
1034513319
1118533405
12b684b9b
1371c53a9
144825a51
15306b27e
hex20ea1a7

34513319 has 2 divisors, whose sum is σ = 34513320. Its totient is φ = 34513318.

The previous prime is 34513249. The next prime is 34513351. The reversal of 34513319 is 91331543.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34513319 is a prime.

It is a super-3 number, since 3×345133193 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34513291 and 34513300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34513379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17256659 + 17256660.

It is an arithmetic number, because the mean of its divisors is an integer number (17256660).

Almost surely, 234513319 is an apocalyptic number.

34513319 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513319 is an equidigital number, since it uses as much as digits as its factorization.

34513319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4860, while the sum is 29.

The square root of 34513319 is about 5874.8037414028. The cubic root of 34513319 is about 325.5833908173.

The spelling of 34513319 in words is "thirty-four million, five hundred thirteen thousand, three hundred nineteen".