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13744434 = 23112943167
BaseRepresentation
bin110100011011…
…100100110010
3221212021211010
4310123210302
512004310214
61210331350
7224553144
oct64334462
927767733
1013744434
117838440
124729b56
132b03002
141b7ac94
151317659
hexd1b932

13744434 has 64 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3904320.

The previous prime is 13744433. The next prime is 13744441. The reversal of 13744434 is 43444731.

13744434 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 is not an unprimeable number, because it can be changed into a prime (13744433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82219 + ... + 82385.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 213744434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13744434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

13744434 is an abundant number, since it is smaller than the sum of its proper divisors (18189006).

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

13744434 is a wasteful number, since it uses less digits than its factorization.

13744434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255.

The product of its digits is 16128, while the sum is 30.

The square root of 13744434 is about 3707.3486482930. The cubic root of 13744434 is about 239.5386623777.

It can be divided in two parts, 13 and 744434, that added together give a palindrome (744447).

The spelling of 13744434 in words is "thirteen million, seven hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 43 58 66 86 87 129 167 174 258 319 334 473 501 638 946 957 1002 1247 1419 1837 1914 2494 2838 3674 3741 4843 5511 7181 7482 9686 11022 13717 14362 14529 21543 27434 29058 41151 43086 53273 78991 82302 106546 157982 159819 208249 236973 319638 416498 473946 624747 1249494 2290739 4581478 6872217 13744434