Search a number
-
+
2345343024000 = 27353113432401
BaseRepresentation
bin100010001000010001010…
…101100111101110000000
322022012201222200011020110
4202020101111213232000
5301411230303232000
64553234040311320
7331305533526564
oct42102125475600
98265658604213
102345343024000
11824721aa3139
1231a662772540
1314021b386ca2
148172da336a4
154101b286850
hex22211567b80

2345343024000 has 256 divisors, whose sum is σ = 7843633911360. Its totient is φ = 619888640000.

The previous prime is 2345343023953. The next prime is 2345343024029. The reversal of 2345343024000 is 4203435432.

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 31 ways as a sum of consecutive naturals, for example, 5207800 + ... + 5640200.

Almost surely, 22345343024000 is an apocalyptic number.

2345343024000 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 2345343024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921816955680).

2345343024000 is an abundant number, since it is smaller than the sum of its proper divisors (5498290887360).

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

2345343024000 is a wasteful number, since it uses less digits than its factorization.

2345343024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432546 (or 432524 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 2345343024000 its reverse (4203435432), we get a palindrome (2349546459432).

The spelling of 2345343024000 in words is "two trillion, three hundred forty-five billion, three hundred forty-three million, twenty-four thousand".