Search a number
-
+
23082384 = 2431371521
BaseRepresentation
bin101100000001…
…1010110010000
31121102201002010
41120003112100
521402114014
62142422520
7400124403
oct130032620
947381063
1023082384
1112036156
127891a40
134a22420
1430cbd3a
15205e359
hex1603590

23082384 has 80 divisors (see below), whose sum is σ = 65245824. Its totient is φ = 6988800.

The previous prime is 23082373. The next prime is 23082391. The reversal of 23082384 is 48328032.

It is a super-2 number, since 2×230823842 = 1065592902246912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44044 + ... + 44564.

Almost surely, 223082384 is an apocalyptic number.

23082384 is a gapful number since it is divisible by the number (24) 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 23082384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622912).

23082384 is an abundant number, since it is smaller than the sum of its proper divisors (42163440).

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

23082384 is a wasteful number, since it uses less digits than its factorization.

23082384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 23082384 is about 4804.4129714253. The cubic root of 23082384 is about 284.7258428521.

The spelling of 23082384 in words is "twenty-three million, eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 521 568 624 852 923 1042 1136 1563 1704 1846 2084 2769 3126 3408 3692 4168 5538 6252 6773 7384 8336 11076 12504 13546 14768 20319 22152 25008 27092 36991 40638 44304 54184 73982 81276 108368 110973 147964 162552 221946 295928 325104 443892 480883 591856 887784 961766 1442649 1775568 1923532 2885298 3847064 5770596 7694128 11541192 23082384