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10349957 = 17259607
BaseRepresentation
bin100111011110…
…110110000101
3201110211110202
4213132312011
510122144312
61005500245
7153654542
oct47366605
921424422
1010349957
11592a092
123571685
1321b4c47
141535bc9
15d969c2
hex9ded85

10349957 has 12 divisors (see below), whose sum is σ = 11199360. Its totient is φ = 9560256.

The previous prime is 10349953. The next prime is 10349981. The reversal of 10349957 is 75994301.

It is a happy number.

It is not a de Polignac number, because 10349957 - 22 = 10349953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10349957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16748 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (933280).

Almost surely, 210349957 is an apocalyptic number.

10349957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10349957 is a deficient number, since it is larger than the sum of its proper divisors (849403).

10349957 is an equidigital number, since it uses as much as digits as its factorization.

10349957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 10349957 is about 3217.1349054710. The cubic root of 10349957 is about 217.9279073121.

The spelling of 10349957 in words is "ten million, three hundred forty-nine thousand, nine hundred fifty-seven".

Divisors: 1 17 59 289 607 1003 10319 17051 35813 175423 608821 10349957