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14634444 = 22311293823
BaseRepresentation
bin110111110100…
…110111001100
31000112111200110
4313310313030
512221300234
61241400020
7235251006
oct67646714
930474613
1014634444
118296090
124a99010
133055146
141d2d376
1514411e9
hexdf4dcc

14634444 has 48 divisors (see below), whose sum is σ = 38545920. Its totient is φ = 4280640.

The previous prime is 14634443. The next prime is 14634461. The reversal of 14634444 is 44443641.

It is a super-5 number, since 5×146344445 (a number of 37 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14634443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917 + ... + 5739.

It is an arithmetic number, because the mean of its divisors is an integer number (803040).

Almost surely, 214634444 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 14634444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19272960).

14634444 is an abundant number, since it is smaller than the sum of its proper divisors (23911476).

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

14634444 is a wasteful number, since it uses less digits than its factorization.

14634444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3868 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 14634444 is about 3825.4991831132. The cubic root of 14634444 is about 244.6012895762.

The spelling of 14634444 in words is "fourteen million, six hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3823 3828 7646 11469 15292 22938 42053 45876 84106 110867 126159 168212 221734 252318 332601 443468 504636 665202 1219537 1330404 2439074 3658611 4878148 7317222 14634444