Search a number
-
+
23380488 = 233619211
BaseRepresentation
bin101100100110…
…0001000001000
31121222212000000
41121030020020
521441133423
62153043000
7402505455
oct131141010
947885000
1023380488
111221a11a
1279b6460
134ac8011
14316882c
1520bc843
hex164c208

23380488 has 112 divisors (see below), whose sum is σ = 69514800. Its totient is φ = 7348320.

The previous prime is 23380481. The next prime is 23380493. The reversal of 23380488 is 88408332.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (23380481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110703 + ... + 110913.

Almost surely, 223380488 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 23380488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34757400).

23380488 is an abundant number, since it is smaller than the sum of its proper divisors (46134312).

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

23380488 is a wasteful number, since it uses less digits than its factorization.

23380488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 23380488 is about 4835.3374235931. The cubic root of 23380488 is about 285.9463279725.

The spelling of 23380488 in words is "twenty-three million, three hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 211 216 228 243 324 342 422 456 486 513 633 648 684 729 844 972 1026 1266 1368 1458 1539 1688 1899 1944 2052 2532 2916 3078 3798 4009 4104 4617 5064 5697 5832 6156 7596 8018 9234 11394 12027 12312 13851 15192 16036 17091 18468 22788 24054 27702 32072 34182 36081 36936 45576 48108 51273 55404 68364 72162 96216 102546 108243 110808 136728 144324 153819 205092 216486 288648 307638 324729 410184 432972 615276 649458 865944 974187 1230552 1298916 1948374 2597832 2922561 3896748 5845122 7793496 11690244 23380488