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2413422 = 2331117239
BaseRepresentation
bin1001001101001101101110
311112121121000
421031031232
51104212142
6123421130
726341134
oct11151556
94477530
102413422
1113a9270
129847a6
1366667b
1446b754
1532a14c
hex24d36e

2413422 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 685440.

The previous prime is 2413421. The next prime is 2413423. The reversal of 2413422 is 2243142.

2413422 is a `hidden beast` number, since 241 + 3 + 422 = 666.

It is an interprime number because it is at equal distance from previous prime (2413421) and next prime (2413423).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2413395 and 2413404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9979 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22413422 is an apocalyptic number.

2413422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2413422 is an abundant number, since it is smaller than the sum of its proper divisors (3807378).

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

2413422 is a wasteful number, since it uses less digits than its factorization.

2413422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2413422 is about 1553.5192306502. The cubic root of 2413422 is about 134.1357131032.

Adding to 2413422 its reverse (2243142), we get a palindrome (4656564).

It can be divided in two parts, 241 and 3422, that added together give a palindrome (3663).

The spelling of 2413422 in words is "two million, four hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 239 297 306 374 459 478 561 594 717 918 1122 1434 1683 2151 2629 3366 4063 4302 5049 5258 6453 7887 8126 10098 12189 12906 15774 23661 24378 36567 44693 47322 70983 73134 89386 109701 134079 141966 219402 268158 402237 804474 1206711 2413422