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2493414 = 2327211257
BaseRepresentation
bin1001100000101111100110
311200200022200
421200233212
51114242124
6125235330
730123300
oct11405746
94620280
102493414
111453380
12a02b46
13693bc1
1448c970
15343bc9
hex260be6

2493414 has 72 divisors (see below), whose sum is σ = 6882408. Its totient is φ = 645120.

The previous prime is 2493409. The next prime is 2493419. The reversal of 2493414 is 4143942.

2493414 is a `hidden beast` number, since 249 + 3 + 414 = 666.

2493414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2493409) and next prime (2493419).

It is a super-2 number, since 2×24934142 = 12434226750792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9574 + ... + 9830.

It is an arithmetic number, because the mean of its divisors is an integer number (95589).

22493414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441204).

2493414 is an abundant number, since it is smaller than the sum of its proper divisors (4388994).

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

2493414 is a wasteful number, since it uses less digits than its factorization.

2493414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2493414 is about 1579.0547805570. The cubic root of 2493414 is about 135.6015949900.

It can be divided in two parts, 249 and 3414, that added together give a palindrome (3663).

The spelling of 2493414 in words is "two million, four hundred ninety-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 257 294 441 462 514 539 693 771 882 1078 1386 1542 1617 1799 2313 2827 3234 3598 4626 4851 5397 5654 8481 9702 10794 12593 16191 16962 19789 25186 25443 32382 37779 39578 50886 59367 75558 113337 118734 138523 178101 226674 277046 356202 415569 831138 1246707 2493414