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34312319 = 313113559
BaseRepresentation
bin1000001011100…
…1000001111111
32101120020122122
42002321001333
532240443234
63223233155
7564435626
oct202710177
971506578
1034312319
1118406398
12b5a87bb
137154a62
1447b26bd
15302b92e
hex20b907f

34312319 has 8 divisors (see below), whose sum is σ = 35543040. Its totient is φ = 33089400.

The previous prime is 34312277. The next prime is 34312349. The reversal of 34312319 is 91321343.

It is a happy number.

34312319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34312319 - 28 = 34312063 is a prime.

It is a super-2 number, since 2×343123192 = 2354670470315522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7862 + ... + 11420.

It is an arithmetic number, because the mean of its divisors is an integer number (4442880).

Almost surely, 234312319 is an apocalyptic number.

34312319 is a deficient number, since it is larger than the sum of its proper divisors (1230721).

34312319 is a wasteful number, since it uses less digits than its factorization.

34312319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901.

The product of its digits is 1944, while the sum is 26.

The square root of 34312319 is about 5857.6718071261. The cubic root of 34312319 is about 324.9501114745.

The spelling of 34312319 in words is "thirty-four million, three hundred twelve thousand, three hundred nineteen".

Divisors: 1 31 311 3559 9641 110329 1106849 34312319