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13741338 = 23131743241
BaseRepresentation
bin110100011010…
…110100011010
3221212010120110
4310122310122
512004210323
61210305150
7224541132
oct64326432
927763513
1013741338
117836086
1247281b6
132b01790
141b79ac2
151316793
hexd1ad1a

13741338 has 64 divisors (see below), whose sum is σ = 32199552. Its totient is φ = 3870720.

The previous prime is 13741337. The next prime is 13741349. The reversal of 13741338 is 83314731.

13741338 is digitally balanced in base 2, because in such base 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 (13741337) 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, 56898 + ... + 57138.

It is an arithmetic number, because the mean of its divisors is an integer number (503118).

Almost surely, 213741338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13741338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099776).

13741338 is an abundant number, since it is smaller than the sum of its proper divisors (18458214).

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

13741338 is a wasteful number, since it uses less digits than its factorization.

13741338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319.

The product of its digits is 6048, while the sum is 30.

The square root of 13741338 is about 3706.9310757013. The cubic root of 13741338 is about 239.5206752810.

The spelling of 13741338 in words is "thirteen million, seven hundred forty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 43 51 78 86 102 129 221 241 258 442 482 559 663 723 731 1118 1326 1446 1462 1677 2193 3133 3354 4097 4386 6266 8194 9399 9503 10363 12291 18798 19006 20726 24582 28509 31089 53261 57018 62178 106522 134719 159783 176171 269438 319566 352342 404157 528513 808314 1057026 2290223 4580446 6870669 13741338