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10012349 = 31714549
BaseRepresentation
bin100110001100…
…011010111101
3200211200100202
4212030122331
510030343344
6554333245
7151050344
oct46143275
920750322
1010012349
115719476
12342a225
1320c7389
141488b5b
15d2b94e
hex98c6bd

10012349 has 8 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 9550800.

The previous prime is 10012339. The next prime is 10012351. The reversal of 10012349 is 94321001.

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

It is a cyclic number.

It is not a de Polignac number, because 10012349 - 24 = 10012333 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is the 42-nd primeval number, because it sets a new record (2418) in the number of distinct primes that is it possible to write using its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10012349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012339) 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, 74 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 210012349 is an apocalyptic number.

It is an amenable number.

10012349 is a deficient number, since it is larger than the sum of its proper divisors (470851).

10012349 is an equidigital number, since it uses as much as digits as its factorization.

10012349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10012349 is about 3164.2296060811. The cubic root of 10012349 is about 215.5321162363.

The spelling of 10012349 in words is "ten million, twelve thousand, three hundred forty-nine".

Divisors: 1 31 71 2201 4549 141019 322979 10012349