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2534124340 = 22511591011933
BaseRepresentation
bin1001011100001011…
…1010101100110100
320112121101212002001
42113002322230310
520142213434330
61055243025044
7116540462416
oct22702725464
96477355061
102534124340
1110904a1140
125a880b184
13315019777
141a07b49b6
15ec71b9ca
hex970bab34

2534124340 has 96 divisors (see below), whose sum is σ = 5965384320. Its totient is φ = 896448000.

The previous prime is 2534124331. The next prime is 2534124379. The reversal of 2534124340 is 434214352.

It is a happy number.

2534124340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2534124299 and 2534124308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310014 + ... + 1311946.

It is an arithmetic number, because the mean of its divisors is an integer number (62139420).

Almost surely, 22534124340 is an apocalyptic number.

2534124340 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 2534124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982692160).

2534124340 is an abundant number, since it is smaller than the sum of its proper divisors (3431259980).

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

2534124340 is a wasteful number, since it uses less digits than its factorization.

2534124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2534124340 is about 50340.0868096192. The cubic root of 2534124340 is about 1363.3561035539.

Adding to 2534124340 its reverse (434214352), we get a palindrome (2968338692).

It can be divided in two parts, 2534124 and 340, that added together give a square (2534464 = 15922).

The spelling of 2534124340 in words is "two billion, five hundred thirty-four million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 101 110 118 202 220 236 295 404 505 590 649 1010 1111 1180 1298 1933 2020 2222 2596 3245 3866 4444 5555 5959 6490 7732 9665 11110 11918 12980 19330 21263 22220 23836 29795 38660 42526 59590 65549 85052 106315 114047 119180 131098 195233 212630 228094 262196 327745 390466 425260 456188 570235 655490 780932 976165 1140470 1254517 1310980 1952330 2147563 2280940 2509034 3904660 4295126 5018068 6272585 8590252 10737815 11518747 12545170 21475630 23037494 25090340 42951260 46074988 57593735 115187470 126706217 230374940 253412434 506824868 633531085 1267062170 2534124340