Search a number
-
+
2034103500 = 223253111329109
BaseRepresentation
bin111100100111101…
…1111010011001100
312020202112011102200
41321033133103030
513131212303000
6533501521500
7101256410622
oct17117372314
95222464380
102034103500
11954220080
12489273290
13265558050
14154215512
15bd89c500
hex793df4cc

2034103500 has 576 divisors, whose sum is σ = 7870262400. Its totient is φ = 435456000.

The previous prime is 2034103481. The next prime is 2034103531. The reversal of 2034103500 is 53014302.

2034103500 is a `hidden beast` number, since 203 + 410 + 3 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18661446 + ... + 18661554.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 22034103500 is an apocalyptic number.

2034103500 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 2034103500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935131200).

2034103500 is an abundant number, since it is smaller than the sum of its proper divisors (5836158900).

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

2034103500 is a wasteful number, since it uses less digits than its factorization.

2034103500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2034103500 is about 45101.0365734536. The cubic root of 2034103500 is about 1267.0420132638.

Adding to 2034103500 its reverse (53014302), we get a palindrome (2087117802).

The spelling of 2034103500 in words is "two billion, thirty-four million, one hundred three thousand, five hundred".