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10349009 = 11231289
BaseRepresentation
bin100111011110…
…100111010001
3201110210011122
4213132213101
510122132014
61005452025
7153652016
oct47364721
921423148
1010349009
115929400
123571015
1321b4698
14153570d
15d9658e
hex9de9d1

10349009 has 18 divisors (see below), whose sum is σ = 11886210. Its totient is φ = 9002400.

The previous prime is 10348999. The next prime is 10349023. The reversal of 10349009 is 90094301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7441984 + 2907025 = 2728^2 + 1705^2 .

It is not a de Polignac number, because 10349009 - 24 = 10348993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10349909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116237 + ... + 116325.

It is an arithmetic number, because the mean of its divisors is an integer number (660345).

Almost surely, 210349009 is an apocalyptic number.

It is an amenable number.

10349009 is a deficient number, since it is larger than the sum of its proper divisors (1537201).

10349009 is an equidigital number, since it uses as much as digits as its factorization.

10349009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 10349009 is about 3216.9875660313. The cubic root of 10349009 is about 217.9212534370.

The spelling of 10349009 in words is "ten million, three hundred forty-nine thousand, nine".

Divisors: 1 11 31 89 121 341 961 979 2759 3751 10571 10769 30349 85529 116281 333839 940819 10349009