Search a number
-
+
23393034 = 23273153113
BaseRepresentation
bin101100100111…
…1001100001010
31122000111012200
41121033030022
521442034114
62153221030
7402560160
oct131171412
948014180
1023393034
1112228595
127a01776
134b00942
14316d230
1520c1409
hex164f30a

23393034 has 96 divisors (see below), whose sum is σ = 61461504. Its totient is φ = 6289920.

The previous prime is 23393033. The next prime is 23393039. The reversal of 23393034 is 43039332.

It is a junction number, because it is equal to n+sod(n) for n = 23392989 and 23393007.

It is not an unprimeable number, because it can be changed into a prime (23393033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206962 + ... + 207074.

It is an arithmetic number, because the mean of its divisors is an integer number (640224).

Almost surely, 223393034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23393034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30730752).

23393034 is an abundant number, since it is smaller than the sum of its proper divisors (38068470).

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

23393034 is a wasteful number, since it uses less digits than its factorization.

23393034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 23393034 is about 4836.6345737506. The cubic root of 23393034 is about 285.9974652163.

The spelling of 23393034 in words is "twenty-three million, three hundred ninety-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 53 62 63 93 106 113 126 159 186 217 226 279 318 339 371 434 477 558 651 678 742 791 954 1017 1113 1302 1582 1643 1953 2034 2226 2373 3286 3339 3503 3906 4746 4929 5989 6678 7006 7119 9858 10509 11501 11978 14238 14787 17967 21018 23002 24521 29574 31527 34503 35934 41923 49042 53901 63054 69006 73563 83846 103509 107802 125769 147126 185659 207018 220689 251538 371318 377307 441378 556977 754614 1113954 1299613 1670931 2599226 3341862 3898839 7797678 11696517 23393034