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10344680 = 235258617
BaseRepresentation
bin100111011101…
…100011101000
3201110120020022
4213131203220
510122012210
61005420012
7153633263
oct47354350
921416208
1010344680
115926125
12356a608
1321b2718
141533cda
15d95155
hex9dd8e8

10344680 has 16 divisors (see below), whose sum is σ = 23275620. Its totient is φ = 4137856.

The previous prime is 10344671. The next prime is 10344689. The reversal of 10344680 is 8644301.

It is an interprime number because it is at equal distance from previous prime (10344671) and next prime (10344689).

It can be written as a sum of positive squares in 2 ways, for example, as 10329796 + 14884 = 3214^2 + 122^2 .

It is not an unprimeable number, because it can be changed into a prime (10344689) 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 3 ways as a sum of consecutive naturals, for example, 129269 + ... + 129348.

Almost surely, 210344680 is an apocalyptic number.

10344680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344680 is an abundant number, since it is smaller than the sum of its proper divisors (12930940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10344680 is a wasteful number, since it uses less digits than its factorization.

10344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258628 (or 258624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10344680 is about 3216.3146612233. The cubic root of 10344680 is about 217.8908636456.

Adding to 10344680 its reverse (8644301), we get a palindrome (18988981).

The spelling of 10344680 in words is "ten million, three hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 258617 517234 1034468 1293085 2068936 2586170 5172340 10344680