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10214344 = 237271367
BaseRepresentation
bin100110111101…
…101111001000
3201012221110001
4212331233020
510103324334
61002532344
7152551300
oct46755710
921187401
1010214344
115847208
1235070b4
1321682ba
1414dc600
15d6b714
hex9bdbc8

10214344 has 48 divisors (see below), whose sum is σ = 22654080. Its totient is φ = 4304160.

The previous prime is 10214341. The next prime is 10214359. The reversal of 10214344 is 44341201.

It is not an unprimeable number, because it can be changed into a prime (10214341) 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, 27649 + ... + 28015.

It is an arithmetic number, because the mean of its divisors is an integer number (471960).

Almost surely, 210214344 is an apocalyptic number.

10214344 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 10214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327040).

10214344 is an abundant number, since it is smaller than the sum of its proper divisors (12439736).

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

10214344 is a wasteful number, since it uses less digits than its factorization.

10214344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10214344 is about 3195.9887359001. The cubic root of 10214344 is about 216.9719006280.

Adding to 10214344 its reverse (44341201), we get a palindrome (54555545).

The spelling of 10214344 in words is "ten million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 71 98 142 196 284 367 392 497 568 734 994 1468 1988 2569 2936 3479 3976 5138 6958 10276 13916 17983 20552 26057 27832 35966 52114 71932 104228 143864 182399 208456 364798 729596 1276793 1459192 2553586 5107172 10214344