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23340000 = 25354389
BaseRepresentation
bin101100100001…
…0001111100000
31121220210110110
41121002033200
521433340000
62152131320
7402246435
oct131021740
947823413
1023340000
11121a1762
127996b40
134ab2768
143157b8c
1520b0850
hex16423e0

23340000 has 120 divisors (see below), whose sum is σ = 76756680. Its totient is φ = 6208000.

The previous prime is 23339977. The next prime is 23340001. The reversal of 23340000 is 4332.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59806 + ... + 60194.

It is an arithmetic number, because the mean of its divisors is an integer number (639639).

Almost surely, 223340000 is an apocalyptic number.

23340000 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 23340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378340).

23340000 is an abundant number, since it is smaller than the sum of its proper divisors (53416680).

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

23340000 is an equidigital number, since it uses as much as digits as its factorization.

23340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

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

The square root of 23340000 is about 4831.1489316725. The cubic root of 23340000 is about 285.7811748154.

Adding to 23340000 its reverse (4332), we get a palindrome (23344332).

The spelling of 23340000 in words is "twenty-three million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 389 400 480 500 600 625 750 778 800 1000 1167 1200 1250 1500 1556 1875 1945 2000 2334 2400 2500 3000 3112 3750 3890 4000 4668 5000 5835 6000 6224 7500 7780 9336 9725 10000 11670 12000 12448 15000 15560 18672 19450 20000 23340 29175 30000 31120 37344 38900 46680 48625 58350 60000 62240 77800 93360 97250 116700 145875 155600 186720 194500 233400 243125 291750 311200 389000 466800 486250 583500 729375 778000 933600 972500 1167000 1458750 1556000 1945000 2334000 2917500 3890000 4668000 5835000 7780000 11670000 23340000