Search a number
-
+
2043634480 = 245137199937
BaseRepresentation
bin111100111001111…
…0110001100110000
312021102110101110221
41321303312030300
513141132300410
6534442102424
7101433415006
oct17163661460
95242411427
102043634480
1195963a918
124904aaa14
13267514294
141555b6a76
15be6314da
hex79cf6330

2043634480 has 80 divisors (see below), whose sum is σ = 4815316800. Its totient is φ = 806547456.

The previous prime is 2043634477. The next prime is 2043634511. The reversal of 2043634480 is 844363402.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2180572 + ... + 2181508.

It is an arithmetic number, because the mean of its divisors is an integer number (60191460).

Almost surely, 22043634480 is an apocalyptic number.

2043634480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407658400).

2043634480 is an abundant number, since it is smaller than the sum of its proper divisors (2771682320).

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

2043634480 is a wasteful number, since it uses less digits than its factorization.

2043634480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2043634480 is about 45206.5756278885. The cubic root of 2043634480 is about 1269.0178779340.

Adding to 2043634480 its reverse (844363402), we get a palindrome (2887997882).

The spelling of 2043634480 in words is "two billion, forty-three million, six hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 199 274 398 548 685 796 937 995 1096 1370 1592 1874 1990 2192 2740 3184 3748 3980 4685 5480 7496 7960 9370 10960 14992 15920 18740 27263 37480 54526 74960 109052 128369 136315 186463 218104 256738 272630 372926 436208 513476 545260 641845 745852 932315 1026952 1090520 1283690 1491704 1864630 2053904 2181040 2567380 2983408 3729260 5134760 7458520 10269520 14917040 25545431 51090862 102181724 127727155 204363448 255454310 408726896 510908620 1021817240 2043634480