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14925344 = 257232897
BaseRepresentation
bin111000111011…
…111000100000
31001002021201112
4320323320200
512310102334
61251522452
7240602060
oct70737040
931067645
1014925344
1184746a5
124bb9428
133127685
141da73a0
15149c4ce
hexe3be20

14925344 has 48 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 6116352.

The previous prime is 14925329. The next prime is 14925347. The reversal of 14925344 is 44352941.

14925344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14925344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14925347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3704 + ... + 6600.

It is an arithmetic number, because the mean of its divisors is an integer number (730296).

Almost surely, 214925344 is an apocalyptic number.

14925344 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 14925344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

14925344 is an abundant number, since it is smaller than the sum of its proper divisors (20128864).

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

14925344 is a wasteful number, since it uses less digits than its factorization.

14925344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 14925344 is about 3863.3332758125. Note that the first 3 decimals coincide. The cubic root of 14925344 is about 246.2113766973.

The spelling of 14925344 in words is "fourteen million, nine hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 2897 5152 5794 11588 20279 23176 40558 46352 66631 81116 92704 133262 162232 266524 324464 466417 533048 648928 932834 1066096 1865668 2132192 3731336 7462672 14925344