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10315344 = 2431361271
BaseRepresentation
bin100111010110…
…011001010000
3201102001222210
4213112121100
510120042334
61005032120
7153451614
oct47263120
921361883
1010315344
115906086
123555640
1321a2270
141527344
15d8b5e9
hex9d6650

10315344 has 80 divisors (see below), whose sum is σ = 29275904. Its totient is φ = 3110400.

The previous prime is 10315307. The next prime is 10315363. The reversal of 10315344 is 44351301.

It is a self number, because there is not a number n which added to its sum of digits gives 10315344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37929 + ... + 38199.

Almost surely, 210315344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637952).

10315344 is an abundant number, since it is smaller than the sum of its proper divisors (18960560).

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

10315344 is a wasteful number, since it uses less digits than its factorization.

10315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10315344 is about 3211.7509243402. The cubic root of 10315344 is about 217.6846997617.

Adding to 10315344 its reverse (44351301), we get a palindrome (54666645).

The spelling of 10315344 in words is "ten million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 271 312 366 488 542 624 732 793 813 976 1084 1464 1586 1626 2168 2379 2928 3172 3252 3523 4336 4758 6344 6504 7046 9516 10569 12688 13008 14092 16531 19032 21138 28184 33062 38064 42276 49593 56368 66124 84552 99186 132248 169104 198372 214903 264496 396744 429806 644709 793488 859612 1289418 1719224 2578836 3438448 5157672 10315344