Search a number
-
+
3230107440 = 24357217107151
BaseRepresentation
bin1100000010000111…
…1000011100110000
322100010000110101220
43000201320130300
523103401414230
61252304225040
7143021313600
oct30041703460
98303013356
103230107440
11140834758a
1276190b180
133c62806a1
14228dc4c00
1513d898d10
hexc0878730

3230107440 has 480 divisors, whose sum is σ = 12531055104. Its totient is φ = 683827200.

The previous prime is 3230107429. The next prime is 3230107537. The reversal of 3230107440 is 447010323.

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 3230107440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21391365 + ... + 21391515.

Almost surely, 23230107440 is an apocalyptic number.

3230107440 is a gapful number since it is divisible by the number (30) 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 3230107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265527552).

3230107440 is an abundant number, since it is smaller than the sum of its proper divisors (9300947664).

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

3230107440 is a wasteful number, since it uses less digits than its factorization.

3230107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3230107440 is about 56834.0341696769. The cubic root of 3230107440 is about 1478.2197122898.

Adding to 3230107440 its reverse (447010323), we get a palindrome (3677117763).

The spelling of 3230107440 in words is "three billion, two hundred thirty million, one hundred seven thousand, four hundred forty".