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13444284 = 2237295519
BaseRepresentation
bin110011010010…
…010010111100
3221022001002110
4303102102330
511420204114
61200054020
7222163110
oct63222274
927261073
1013444284
117652987
124604310
132a294c9
141add740
1512a8759
hexcd24bc

13444284 has 48 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 3708096.

The previous prime is 13444279. The next prime is 13444307. The reversal of 13444284 is 48244431.

13444284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (772800).

Almost surely, 213444284 is an apocalyptic number.

13444284 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 13444284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

13444284 is an abundant number, since it is smaller than the sum of its proper divisors (23650116).

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

13444284 is a wasteful number, since it uses less digits than its factorization.

13444284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5560 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 13444284 is about 3666.6447878135. The cubic root of 13444284 is about 237.7821370952.

It can be divided in two parts, 134442 and 84, that multiplied together give a triangular number (11293128 = T4752).

The spelling of 13444284 in words is "thirteen million, four hundred forty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 5519 11038 16557 22076 33114 38633 66228 77266 115899 154532 160051 231798 320102 463596 480153 640204 960306 1120357 1920612 2240714 3361071 4481428 6722142 13444284