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13744242 = 234372293
BaseRepresentation
bin110100011011…
…100001110010
3221212021120000
4310123201302
512004303432
61210330430
7224552451
oct64334162
927767500
1013744242
117838286
124729a16
132b02bb5
141b7ab98
15131757c
hexd1b872

13744242 has 40 divisors (see below), whose sum is σ = 31643436. Its totient is φ = 4455648.

The previous prime is 13744229. The next prime is 13744243. The reversal of 13744242 is 24244731.

13744242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13549761 + 194481 = 3681^2 + 441^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13744243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4848 + ... + 7140.

Almost surely, 213744242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13744242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821718).

13744242 is an abundant number, since it is smaller than the sum of its proper divisors (17899194).

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

13744242 is a wasteful number, since it uses less digits than its factorization.

13744242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2335 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 13744242 is about 3707.3227536863. The cubic root of 13744242 is about 239.5375469774.

Adding to 13744242 its reverse (24244731), we get a palindrome (37988973).

The spelling of 13744242 in words is "thirteen million, seven hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2293 2997 4586 5994 6879 13758 20637 41274 61911 84841 123822 169682 185733 254523 371466 509046 763569 1527138 2290707 4581414 6872121 13744242