Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
23400000 = 26325513
BaseRepresentation
bin101100101000…
…0111001000000
31122000211202200
41121100321000
521442300000
62153313200
7402616401
oct131207100
948024680
1023400000
1112232848
127a05800
134b03b70
1431719a8
1520c3500
hex1650e40

23400000 has 252 divisors, whose sum is σ = 90283284. Its totient is φ = 5760000.

The previous prime is 23399953. The next prime is 23400023. The reversal of 23400000 is 432.

It can be written as a sum of positive squares in 6 ways, for example, as 22127616 + 1272384 = 4704^2 + 1128^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799994 + ... + 1800006.

It is an arithmetic number, because the mean of its divisors is an integer number (358267).

Almost surely, 223400000 is an apocalyptic number.

23400000 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 23400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45141642).

23400000 is an abundant number, since it is smaller than the sum of its proper divisors (66883284).

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

23400000 is an equidigital number, since it uses as much as digits as its factorization.

23400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23400000 is about 4837.3546489791. The cubic root of 23400000 is about 286.0258505983.

Adding to 23400000 its reverse (432), we get a palindrome (23400432).

The spelling of 23400000 in words is "twenty-three million, four hundred thousand".