Search a number
-
+
23934000 = 243533989
BaseRepresentation
bin101101101001…
…1010000110000
31200000222021110
41123103100300
522111342000
62212553320
7410302266
oct133232060
950028243
1023934000
1112567a72
128022840
134c5cc3c
143270436
15217b850
hex16d3430

23934000 has 80 divisors (see below), whose sum is σ = 77182560. Its totient is φ = 6380800.

The previous prime is 23933989. The next prime is 23934017. The reversal of 23934000 is 43932.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4006 + ... + 7994.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 223934000 is an apocalyptic number.

23934000 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 23934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

23934000 is an abundant number, since it is smaller than the sum of its proper divisors (53248560).

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

23934000 is a wasteful number, since it uses less digits than its factorization.

23934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 23934000 is about 4892.2387513285. The cubic root of 23934000 is about 288.1852588912.

Adding to 23934000 its reverse (43932), we get a palindrome (23977932).

The spelling of 23934000 in words is "twenty-three million, nine hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 3989 6000 7978 11967 15956 19945 23934 31912 39890 47868 59835 63824 79780 95736 99725 119670 159560 191472 199450 239340 299175 319120 398900 478680 498625 598350 797800 957360 997250 1196700 1495875 1595600 1994500 2393400 2991750 3989000 4786800 5983500 7978000 11967000 23934000