Search a number
-
+
2103434732 = 227239473449
BaseRepresentation
bin111110101011111…
…1101110111101100
312102120222120000002
41331113331313230
513301434402412
6544415523432
7103060620530
oct17527756754
95376876002
102103434732
1198a374713
124a8529578
13276a21349
1415d501bc0
15c49e4dc2
hex7d5fddec

2103434732 has 48 divisors (see below), whose sum is σ = 4395686400. Its totient is φ = 861117312.

The previous prime is 2103434717. The next prime is 2103434737. The reversal of 2103434732 is 2374343012.

It is a junction number, because it is equal to n+sod(n) for n = 2103434695 and 2103434704.

It is not an unprimeable number, because it can be changed into a prime (2103434737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608144 + ... + 611592.

It is an arithmetic number, because the mean of its divisors is an integer number (91576800).

Almost surely, 22103434732 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 2103434732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197843200).

2103434732 is an abundant number, since it is smaller than the sum of its proper divisors (2292251668).

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

2103434732 is a wasteful number, since it uses less digits than its factorization.

2103434732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 2103434732 is about 45863.2176367947. The cubic root of 2103434732 is about 1281.2769507652.

Adding to 2103434732 its reverse (2374343012), we get a palindrome (4477777744).

The spelling of 2103434732 in words is "two billion, one hundred three million, four hundred thirty-four thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 947 1894 3449 3788 6629 6898 13258 13796 21781 24143 26516 43562 48286 79327 87124 96572 152467 158654 304934 317308 555289 609868 1110578 2221156 3266203 6532406 13064812 22863421 45726842 75122669 91453684 150245338 300490676 525858683 1051717366 2103434732