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2382534 = 234711191
BaseRepresentation
bin1001000101101011000110
311111001020000
421011223012
51102220114
6123022130
726152110
oct11055306
94431200
102382534
111388040
1296a946
136555ab
144603b0
15320e09
hex245ac6

2382534 has 80 divisors (see below), whose sum is σ = 6690816. Its totient is φ = 615600.

The previous prime is 2382529. The next prime is 2382539. The reversal of 2382534 is 4352832.

It is an interprime number because it is at equal distance from previous prime (2382529) and next prime (2382539).

It is a super-2 number, since 2×23825342 = 11352936522312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2382498 and 2382507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382539) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12379 + ... + 12569.

22382534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345408).

2382534 is an abundant number, since it is smaller than the sum of its proper divisors (4308282).

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

2382534 is a wasteful number, since it uses less digits than its factorization.

2382534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2382534 is about 1543.5459176843. The cubic root of 2382534 is about 133.5610123845.

It can be divided in two parts, 2382 and 534, that added together give a square (2916 = 542).

The spelling of 2382534 in words is "two million, three hundred eighty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 191 198 231 297 378 382 462 567 573 594 693 891 1134 1146 1337 1386 1719 1782 2079 2101 2674 3438 4011 4158 4202 5157 6237 6303 8022 10314 12033 12474 12606 14707 15471 18909 24066 29414 30942 36099 37818 44121 56727 72198 88242 108297 113454 132363 170181 216594 264726 340362 397089 794178 1191267 2382534