Search a number
-
+
23234004240 = 2435292432677
BaseRepresentation
bin10101101000110110…
…101100010100010000
32012222012212201001120
4111220312230110100
5340040401113430
614401253202240
71451521530456
oct255066542420
965865781046
1023234004240
119942a982a7
124605030380
1322636c0c05
1411a5a029d6
1590eb34610
hex568dac510

23234004240 has 240 divisors, whose sum is σ = 76357963968. Its totient is φ = 5840787456.

The previous prime is 23234004239. The next prime is 23234004259. The reversal of 23234004240 is 4240043232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23234004240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8677782 + ... + 8680458.

Almost surely, 223234004240 is an apocalyptic number.

23234004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23234004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38178981984).

23234004240 is an abundant number, since it is smaller than the sum of its proper divisors (53123959728).

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

23234004240 is a wasteful number, since it uses less digits than its factorization.

23234004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23234004240 its reverse (4240043232), we get a palindrome (27474047472).

The spelling of 23234004240 in words is "twenty-three billion, two hundred thirty-four million, four thousand, two hundred forty".