[go: up one dir, main page]

Search a number
-
+
23342016 = 263611993
BaseRepresentation
bin101100100001…
…0101111000000
31121220220020010
41121002233000
521433421031
62152144520
7402255345
oct131025700
947826203
1023342016
11121a3225
127998140
134ab3659
1431587cc
1520b1246
hex1642bc0

23342016 has 56 divisors (see below), whose sum is σ = 62803024. Its totient is φ = 7649280.

The previous prime is 23341961. The next prime is 23342017. The reversal of 23342016 is 61024332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23341983 and 23342001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23342017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10716 + ... + 12708.

Almost surely, 223342016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31401512).

23342016 is an abundant number, since it is smaller than the sum of its proper divisors (39461008).

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

23342016 is a wasteful number, since it uses less digits than its factorization.

23342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23342016 is about 4831.3575731879. The cubic root of 23342016 is about 285.7894027255.

Adding to 23342016 its reverse (61024332), we get a palindrome (84366348).

The spelling of 23342016 in words is "twenty-three million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 1993 2928 3904 3986 5856 5979 7972 11712 11958 15944 23916 31888 47832 63776 95664 121573 127552 191328 243146 364719 382656 486292 729438 972584 1458876 1945168 2917752 3890336 5835504 7780672 11671008 23342016