Search a number
-
+
2040344032 = 25196750087
BaseRepresentation
bin111100110011101…
…0010110111100000
312021012021012211111
41321213102313200
513134312002112
6534243353104
7101363431606
oct17147226740
95235235744
102040344032
119577a2741
1248b382794
1326693167c
14154d9b876
15be1d15a7
hex799d2de0

2040344032 has 48 divisors (see below), whose sum is σ = 4291539840. Its totient is φ = 952034688.

The previous prime is 2040344017. The next prime is 2040344041. The reversal of 2040344032 is 2304430402.

It is a junction number, because it is equal to n+sod(n) for n = 2040343994 and 2040344012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15693 + ... + 65779.

It is an arithmetic number, because the mean of its divisors is an integer number (89407080).

Almost surely, 22040344032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145769920).

2040344032 is an abundant number, since it is smaller than the sum of its proper divisors (2251195808).

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

2040344032 is a wasteful number, since it uses less digits than its factorization.

2040344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50183 (or 50175 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2040344032 is about 45170.1675002429. The cubic root of 2040344032 is about 1268.3364318070.

Adding to 2040344032 its reverse (2304430402), we get a palindrome (4344774434).

The spelling of 2040344032 in words is "two billion, forty million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 1072 1273 2144 2546 5092 10184 20368 40736 50087 100174 200348 400696 801392 951653 1602784 1903306 3355829 3806612 6711658 7613224 13423316 15226448 26846632 30452896 53693264 63760751 107386528 127521502 255043004 510086008 1020172016 2040344032