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18334540 = 2257173757
BaseRepresentation
bin100010111110…
…0001101001100
31021111111021001
41011330031030
514143201130
61452550044
7311561320
oct105741514
937444231
1018334540
11a393014
126182324
133a4c353
142613980
1519226ca
hex117c34c

18334540 has 48 divisors (see below), whose sum is σ = 44315712. Its totient is φ = 6241536.

The previous prime is 18334531. The next prime is 18334541. The reversal of 18334540 is 4543381.

18334540 is a nontrivial binomial coefficient, being equal to C(6056, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 18334499 and 18334508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18334541) 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, 23842 + ... + 24598.

It is an arithmetic number, because the mean of its divisors is an integer number (923244).

Almost surely, 218334540 is an apocalyptic number.

18334540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18334540 is the 6055-th triangular number and also the 3028-th hexagonal number.

18334540 is the 2019-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18334540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22157856).

18334540 is an abundant number, since it is smaller than the sum of its proper divisors (25981172).

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

18334540 is a wasteful number, since it uses less digits than its factorization.

18334540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 18334540 is about 4281.8850988788. The cubic root of 18334540 is about 263.6877813451.

The spelling of 18334540 in words is "eighteen million, three hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 757 865 1211 1514 1730 2422 3028 3460 3785 4844 5299 6055 7570 10598 12110 15140 21196 24220 26495 52990 105980 130961 261922 523844 654805 916727 1309610 1833454 2619220 3666908 4583635 9167270 18334540