Search a number
-
+
2045234430 = 232573311299
BaseRepresentation
bin111100111100111…
…1100110011111110
312021112110200012100
41321321330303332
513142040000210
6534540245530
7101453130411
oct17171746376
95245420170
102045234430
1195a532998
12490b408a6
132679545b5
141558b1b78
15be84a5c0
hex79e7ccfe

2045234430 has 48 divisors (see below), whose sum is σ = 5390470800. Its totient is φ = 537922944.

The previous prime is 2045234407. The next prime is 2045234431. The reversal of 2045234430 is 344325402.

2045234430 is a `hidden beast` number, since 204 + 5 + 23 + 4 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2045234394 and 2045234403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045234431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149080 + ... + 162219.

It is an arithmetic number, because the mean of its divisors is an integer number (112301475).

Almost surely, 22045234430 is an apocalyptic number.

2045234430 is an abundant number, since it is smaller than the sum of its proper divisors (3345236370).

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

2045234430 is a wasteful number, since it uses less digits than its factorization.

2045234430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311385 (or 311382 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2045234430 is about 45224.2681532825. The cubic root of 2045234430 is about 1269.3489605469.

Adding to 2045234430 its reverse (344325402), we get a palindrome (2389559832).

The spelling of 2045234430 in words is "two billion, forty-five million, two hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 311299 622598 933897 1556495 1867794 2801691 3112990 4669485 5603382 9338970 14008455 22724827 28016910 45449654 68174481 113624135 136348962 204523443 227248270 340872405 409046886 681744810 1022617215 2045234430