Search a number
-
+
2344413423000 = 2335311293242467
BaseRepresentation
bin100010000111011001111…
…011011110010110011000
322022010100012110112101210
4202013121323132112120
5301402324314014000
64553001511543120
7331243515203565
oct42073173362630
98263305415353
102344413423000
11824295293150
1231a44338aaa0
131401008c811c
14816823ad86c
1540eb485e350
hex221d9ede598

2344413423000 has 256 divisors, whose sum is σ = 8006797693440. Its totient is φ = 566400576000.

The previous prime is 2344413422951. The next prime is 2344413423019. The reversal of 2344413423000 is 3243144432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9547767 + ... + 9790233.

It is an arithmetic number, because the mean of its divisors is an integer number (31276553490).

Almost surely, 22344413423000 is an apocalyptic number.

2344413423000 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 2344413423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003398846720).

2344413423000 is an abundant number, since it is smaller than the sum of its proper divisors (5662384270440).

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

2344413423000 is a wasteful number, since it uses less digits than its factorization.

2344413423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242795 (or 242781 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2344413423000 its reverse (3243144432), we get a palindrome (2347656567432).

The spelling of 2344413423000 in words is "two trillion, three hundred forty-four billion, four hundred thirteen million, four hundred twenty-three thousand".