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2534112 = 25337419
BaseRepresentation
bin1001101010101011100000
311202202011000
421222223200
51122042422
6130152000
730353040
oct11525340
94682130
102534112
111480a09
12a22600
136a9599
1449d720
15350cac
hex26aae0

2534112 has 96 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 722304.

The previous prime is 2534111. The next prime is 2534131. The reversal of 2534112 is 2114352.

2534112 is a `hidden beast` number, since 253 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×25341123 = 48820100723330678784, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5839 + ... + 6257.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

22534112 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 2534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

2534112 is an abundant number, since it is smaller than the sum of its proper divisors (5933088).

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

2534112 is a wasteful number, since it uses less digits than its factorization.

2534112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2534112 is about 1591.8894433974. The cubic root of 2534112 is about 136.3353890582.

Adding to 2534112 its product of digits (240), we get a palindrome (2534352).

Adding to 2534112 its reverse (2114352), we get a palindrome (4648464).

The spelling of 2534112 in words is "two million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 419 432 504 672 756 838 864 1008 1257 1512 1676 2016 2514 2933 3024 3352 3771 5028 5866 6048 6704 7542 8799 10056 11313 11732 13408 15084 17598 20112 22626 23464 26397 30168 35196 40224 45252 46928 52794 60336 70392 79191 90504 93856 105588 120672 140784 158382 181008 211176 281568 316764 362016 422352 633528 844704 1267056 2534112