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34993351 is a prime number
BaseRepresentation
bin1000010101111…
…1010011000111
32102211211212001
42011133103013
532424241401
63250010131
7603303301
oct205372307
972754761
1034993351
1118831028
12b876947
137332a33
14490c971
153113601
hex215f4c7

34993351 has 2 divisors, whose sum is σ = 34993352. Its totient is φ = 34993350.

The previous prime is 34993349. The next prime is 34993397. The reversal of 34993351 is 15339943.

It is a weak prime.

It is an emirp because it is prime and its reverse (15339943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34993351 - 21 = 34993349 is a prime.

It is a super-2 number, since 2×349933512 = 2449069228418402, which contains 22 as substring.

Together with 34993349, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 34993351.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34991351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17496675 + 17496676.

It is an arithmetic number, because the mean of its divisors is an integer number (17496676).

Almost surely, 234993351 is an apocalyptic number.

34993351 is the 2646-th centered decagonal number.

34993351 is a deficient number, since it is larger than the sum of its proper divisors (1).

34993351 is an equidigital number, since it uses as much as digits as its factorization.

34993351 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43740, while the sum is 37.

The square root of 34993351 is about 5915.5178133448. The cubic root of 34993351 is about 327.0859160691.

It can be divided in two parts, 34993 and 351, that added together give a square (35344 = 1882).

The spelling of 34993351 in words is "thirty-four million, nine hundred ninety-three thousand, three hundred fifty-one".