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21834340 = 22511611627
BaseRepresentation
bin101001101001…
…0101001100100
31112002022002021
41103102221210
521042144330
62055552524
7353405653
oct123225144
945068067
1021834340
1111363510
12738b744
1346a6338
142c8519a
151db467a
hex14d2a64

21834340 has 48 divisors (see below), whose sum is σ = 50871744. Its totient is φ = 7804800.

The previous prime is 21834331. The next prime is 21834349. The reversal of 21834340 is 4343812.

It is an interprime number because it is at equal distance from previous prime (21834331) and next prime (21834349).

It is not an unprimeable number, because it can be changed into a prime (21834349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12607 + ... + 14233.

It is an arithmetic number, because the mean of its divisors is an integer number (1059828).

Almost surely, 221834340 is an apocalyptic number.

21834340 is a gapful number since it is divisible by the number (20) 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 21834340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25435872).

21834340 is an abundant number, since it is smaller than the sum of its proper divisors (29037404).

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

21834340 is a wasteful number, since it uses less digits than its factorization.

21834340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 21834340 is about 4672.7229748831. The cubic root of 21834340 is about 279.4988484586.

The spelling of 21834340 in words is "twenty-one million, eight hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 1627 2684 3254 3355 6508 6710 8135 13420 16270 17897 32540 35794 71588 89485 99247 178970 198494 357940 396988 496235 992470 1091717 1984940 2183434 4366868 5458585 10917170 21834340