Search a number
-
+
2034344032 = 25717534229
BaseRepresentation
bin111100101000001…
…1010000001100000
312020202222101101021
41321100122001200
513131243002112
6533511015224
7101261432110
oct17120320140
95222871337
102034344032
11954374866
1248936a514
13265610686
14154279040
15bd8e8907
hex7941a060

2034344032 has 48 divisors (see below), whose sum is σ = 4846534560. Its totient is φ = 820574208.

The previous prime is 2034344009. The next prime is 2034344033. The reversal of 2034344032 is 2304434302.

It is a junction number, because it is equal to n+sod(n) for n = 2034343988 and 2034344006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034344033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263307 + ... + 270922.

It is an arithmetic number, because the mean of its divisors is an integer number (100969470).

Almost surely, 22034344032 is an apocalyptic number.

It is an amenable number.

2034344032 is an abundant number, since it is smaller than the sum of its proper divisors (2812190528).

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

2034344032 is a wasteful number, since it uses less digits than its factorization.

2034344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534263 (or 534255 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2034344032 is about 45103.7030852235. The cubic root of 2034344032 is about 1267.0919537147.

Adding to 2034344032 its reverse (2304434302), we get a palindrome (4338778334).

The spelling of 2034344032 in words is "two billion, thirty-four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 534229 1068458 2136916 3739603 4273832 7479206 8547664 9081893 14958412 17095328 18163786 29916824 36327572 59833648 63573251 72655144 119667296 127146502 145310288 254293004 290620576 508586008 1017172016 2034344032