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10314408 = 2331322543
BaseRepresentation
bin100111010110…
…001010101000
3201102000201010
4213112022220
510120030113
61005023520
7153446106
oct47261250
921360633
1010314408
115905405
123554ba0
1321a1a00
141526c76
15d8b1c3
hex9d62a8

10314408 has 48 divisors (see below), whose sum is σ = 27933120. Its totient is φ = 3172416.

The previous prime is 10314407. The next prime is 10314431. The reversal of 10314408 is 80441301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2785 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (581940).

Almost surely, 210314408 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 10314408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966560).

10314408 is an abundant number, since it is smaller than the sum of its proper divisors (17618712).

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

10314408 is a wasteful number, since it uses less digits than its factorization.

10314408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10314408 is about 3211.6052061236. The cubic root of 10314408 is about 217.6781154267.

Adding to 10314408 its reverse (80441301), we get a palindrome (90755709).

The spelling of 10314408 in words is "ten million, three hundred fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2543 4056 5086 7629 10172 15258 20344 30516 33059 61032 66118 99177 132236 198354 264472 396708 429767 793416 859534 1289301 1719068 2578602 3438136 5157204 10314408