Search a number
-
+
23283664 = 2419191401
BaseRepresentation
bin101100011010…
…0011111010000
31121210221011221
41120310133100
521430034124
62151014424
7401623255
oct130643720
947727157
1023283664
11121633a8
12796a414
134a92c21
14314142c
15209dce4
hex16347d0

23283664 has 40 divisors (see below), whose sum is σ = 47854080. Its totient is φ = 10944000.

The previous prime is 23283661. The next prime is 23283671. The reversal of 23283664 is 46638232.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23283661) 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, 57864 + ... + 58264.

It is an arithmetic number, because the mean of its divisors is an integer number (1196352).

Almost surely, 223283664 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 23283664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927040).

23283664 is an abundant number, since it is smaller than the sum of its proper divisors (24570416).

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

23283664 is a wasteful number, since it uses less digits than its factorization.

23283664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 23283664 is about 4825.3149120032. The cubic root of 23283664 is about 285.5510585764.

The spelling of 23283664 in words is "twenty-three million, two hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 401 764 802 1528 1604 3056 3208 3629 6416 7258 7619 14516 15238 29032 30476 58064 60952 76591 121904 153182 306364 612728 1225456 1455229 2910458 5820916 11641832 23283664