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2034032031 = 3217101131627
BaseRepresentation
bin111100100111100…
…1101110110011111
312020202101112101200
41321033031312133
513131203011111
6533500210543
7101255662353
oct17117156637
95222345350
102034032031
11954181409
12489239a53
13265531665
141541d7463
15bd886256
hex793cdd9f

2034032031 has 24 divisors (see below), whose sum is σ = 3141697104. Its totient is φ = 1263609600.

The previous prime is 2034032009. The next prime is 2034032041. The reversal of 2034032031 is 1302304302.

2034032031 is a `hidden beast` number, since 2 + 0 + 340 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 2034032031 - 215 = 2033999263 is a prime.

It is a super-2 number, since 2×20340320312 = 8274572606267969922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2034031995 and 2034032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034032041) 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, 50361 + ... + 81266.

It is an arithmetic number, because the mean of its divisors is an integer number (130904046).

Almost surely, 22034032031 is an apocalyptic number.

2034032031 is a deficient number, since it is larger than the sum of its proper divisors (1107665073).

2034032031 is a wasteful number, since it uses less digits than its factorization.

2034032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131751 (or 131748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2034032031 is about 45100.2442454584. The cubic root of 2034032031 is about 1267.0271737557.

Adding to 2034032031 its reverse (1302304302), we get a palindrome (3336336333).

The spelling of 2034032031 in words is "two billion, thirty-four million, thirty-two thousand, thirty-one".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 15453 131627 394881 1184643 2237659 6712977 13294327 20138931 39882981 119648943 226003559 678010677 2034032031