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23004300 = 22352116971
BaseRepresentation
bin101011111000…
…0010010001100
31121021201222010
41113300102030
521342114200
62141021220
7366350634
oct127602214
947251863
1023004300
1111a92520
127854810
1349c5a17
1430ab6c4
152046150
hex15f048c

23004300 has 72 divisors (see below), whose sum is σ = 72620352. Its totient is φ = 5576000.

The previous prime is 23004299. The next prime is 23004313. The reversal of 23004300 is 340032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 186 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (1008616).

Almost surely, 223004300 is an apocalyptic number.

23004300 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 23004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36310176).

23004300 is an abundant number, since it is smaller than the sum of its proper divisors (49616052).

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

23004300 is a wasteful number, since it uses less digits than its factorization.

23004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23004300 is about 4796.2798083515. The cubic root of 23004300 is about 284.4044195301.

Adding to 23004300 its reverse (340032), we get a palindrome (23344332).

The spelling of 23004300 in words is "twenty-three million, four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6971 13942 20913 27884 34855 41826 69710 76681 83652 104565 139420 153362 174275 209130 230043 306724 348550 383405 418260 460086 522825 697100 766810 920172 1045650 1150215 1533620 1917025 2091300 2300430 3834050 4600860 5751075 7668100 11502150 23004300