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10344264 = 233767919
BaseRepresentation
bin100111011101…
…011101001000
3201110112122220
4213131131020
510122004024
61005414040
7153632130
oct47353510
921415586
1010344264
115925887
12356a320
1321b2488
141533ac0
15d94e79
hex9dd748

10344264 has 64 divisors (see below), whose sum is σ = 30028800. Its totient is φ = 2908224.

The previous prime is 10344239. The next prime is 10344281. The reversal of 10344264 is 46244301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10797 + ... + 11715.

It is an arithmetic number, because the mean of its divisors is an integer number (469200).

Almost surely, 210344264 is an apocalyptic number.

10344264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014400).

10344264 is an abundant number, since it is smaller than the sum of its proper divisors (19684536).

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

10344264 is a wasteful number, since it uses less digits than its factorization.

10344264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10344264 is about 3216.2499902837. The cubic root of 10344264 is about 217.8879428588.

Adding to 10344264 its reverse (46244301), we get a palindrome (56588565).

The spelling of 10344264 in words is "ten million, three hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 919 938 1407 1608 1838 1876 2757 2814 3676 3752 5514 5628 6433 7352 11028 11256 12866 19299 22056 25732 38598 51464 61573 77196 123146 154392 184719 246292 369438 431011 492584 738876 862022 1293033 1477752 1724044 2586066 3448088 5172132 10344264