Search a number
-
+
23978304 = 2632719313
BaseRepresentation
bin101101101111…
…0000101000000
31200010020001100
41123132011000
522114301204
62213534400
7410545410
oct133360500
950106040
1023978304
1112598289
128044400
134c7715c
143282640
152189a39
hex16de140

23978304 has 168 divisors, whose sum is σ = 82946240. Its totient is φ = 6469632.

The previous prime is 23978299. The next prime is 23978327. The reversal of 23978304 is 40387932.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 76452 + ... + 76764.

Almost surely, 223978304 is an apocalyptic number.

23978304 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 23978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41473120).

23978304 is an abundant number, since it is smaller than the sum of its proper divisors (58967936).

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

23978304 is a wasteful number, since it uses less digits than its factorization.

23978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 23978304 is about 4896.7646461720. The cubic root of 23978304 is about 288.3629682825.

It can be divided in two parts, 2397 and 8304, that added together give a palindrome (10701).

The spelling of 23978304 in words is "twenty-three million, nine hundred seventy-eight thousand, three hundred four".