Search a number
-
+
2034015000 = 23354135601
BaseRepresentation
bin111100100111100…
…1001101100011000
312020202100200000220
41321033021230120
513131201440000
6533500000040
7101255561613
oct17117115430
95222320026
102034015000
1195416a636
12489230020
13265526994
141541d117a
15bd8811a0
hex793c9b18

2034015000 has 80 divisors (see below), whose sum is σ = 6354309720. Its totient is φ = 542400000.

The previous prime is 2034014993. The next prime is 2034015001. The reversal of 2034015000 is 5104302.

2034015000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034015001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52801 + ... + 82800.

Almost surely, 22034015000 is an apocalyptic number.

2034015000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034015000 is an abundant number, since it is smaller than the sum of its proper divisors (4320294720).

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

2034015000 is a wasteful number, since it uses less digits than its factorization.

2034015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135630 (or 135611 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2034015000 is about 45100.0554323384. The cubic root of 2034015000 is about 1267.0236374626.

Adding to 2034015000 its reverse (5104302), we get a palindrome (2039119302).

The spelling of 2034015000 in words is "two billion, thirty-four million, fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 135601 271202 406803 542404 678005 813606 1084808 1356010 1627212 2034015 2712020 3254424 3390025 4068030 5424040 6780050 8136060 10170075 13560100 16272120 16950125 20340150 27120200 33900250 40680300 50850375 67800500 81360600 84750625 101700750 135601000 169501250 203401500 254251875 339002500 406803000 508503750 678005000 1017007500 2034015000