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13734380 = 22511163383
BaseRepresentation
bin110100011001…
…000111101100
3221211210000202
4310121013230
512004000010
61210213032
7224511632
oct64310754
927753022
1013734380
117830930
124724178
132acb56a
141b77352
1513146a5
hexd191ec

13734380 has 48 divisors (see below), whose sum is σ = 31739904. Its totient is φ = 4950720.

The previous prime is 13734379. The next prime is 13734389. The reversal of 13734380 is 8343731.

13734380 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 (13734389) 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, 35669 + ... + 36051.

It is an arithmetic number, because the mean of its divisors is an integer number (661248).

Almost surely, 213734380 is an apocalyptic number.

13734380 is a gapful number since it is divisible by the number (10) 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 13734380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869952).

13734380 is an abundant number, since it is smaller than the sum of its proper divisors (18005524).

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

13734380 is a wasteful number, since it uses less digits than its factorization.

13734380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 13734380 is about 3705.9924446766. The cubic root of 13734380 is about 239.4802409304.

The spelling of 13734380 in words is "thirteen million, seven hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 383 652 766 815 1532 1630 1793 1915 3260 3586 3830 4213 7172 7660 8426 8965 16852 17930 21065 35860 42130 62429 84260 124858 249716 312145 624290 686719 1248580 1373438 2746876 3433595 6867190 13734380