Search a number
-
+
23814045 = 3253143397
BaseRepresentation
bin101101011010…
…1111110011101
31122210212201200
41122311332131
522044022140
62210230113
7406262463
oct132657635
948725650
1023814045
1112495932
127b85339
134c1a468
14323c833
152156030
hex16b5f9d

23814045 has 48 divisors (see below), whose sum is σ = 43709952. Its totient is φ = 11975040.

The previous prime is 23814041. The next prime is 23814053. The reversal of 23814045 is 54041832.

It is not a de Polignac number, because 23814045 - 22 = 23814041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23814041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59787 + ... + 60183.

It is an arithmetic number, because the mean of its divisors is an integer number (910624).

Almost surely, 223814045 is an apocalyptic number.

It is an amenable number.

23814045 is a deficient number, since it is larger than the sum of its proper divisors (19895907).

23814045 is a wasteful number, since it uses less digits than its factorization.

23814045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 23814045 is about 4879.9636269136. The cubic root of 23814045 is about 287.7029996683.

Adding to 23814045 its reverse (54041832), we get a palindrome (77855877).

The spelling of 23814045 in words is "twenty-three million, eight hundred fourteen thousand, forty-five".

Divisors: 1 3 5 9 15 31 43 45 93 129 155 215 279 387 397 465 645 1191 1333 1395 1935 1985 3573 3999 5955 6665 11997 12307 17071 17865 19995 36921 51213 59985 61535 85355 110763 153639 184605 256065 529201 553815 768195 1587603 2646005 4762809 7938015 23814045