Search a number
-
+
23378816 = 27199613
BaseRepresentation
bin101100100101…
…1101110000000
31121222202201002
41121023232000
521441110231
62153031132
7402500546
oct131135600
947882632
1023378816
111221893a
1279b54a8
134ac7326
143167d96
1520bc0cb
hex164bb80

23378816 has 32 divisors (see below), whose sum is σ = 49031400. Its totient is φ = 11073024.

The previous prime is 23378813. The next prime is 23378819. The reversal of 23378816 is 61887332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23378813) and next prime (23378819).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 23378816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23378813) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2375 + ... + 7238.

Almost surely, 223378816 is an apocalyptic number.

It is an amenable number.

23378816 is an abundant number, since it is smaller than the sum of its proper divisors (25652584).

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

23378816 is an equidigital number, since it uses as much as digits as its factorization.

23378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9634 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 23378816 is about 4835.1645266733. The cubic root of 23378816 is about 285.9395115528.

The spelling of 23378816 in words is "twenty-three million, three hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 9613 19226 38452 76904 153808 182647 307616 365294 615232 730588 1230464 1461176 2922352 5844704 11689408 23378816