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2438424 = 23345371
BaseRepresentation
bin1001010011010100011000
311120212220000
421103110120
51111012144
6124133000
726504052
oct11232430
94525800
102438424
11141602a
12997160
13674b71
144768d2
15332769
hex253518

2438424 has 80 divisors (see below), whose sum is σ = 7056720. Its totient is φ = 786240.

The previous prime is 2438417. The next prime is 2438453. The reversal of 2438424 is 4248342.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34309 + ... + 34379.

It is an arithmetic number, because the mean of its divisors is an integer number (88209).

22438424 is an apocalyptic number.

2438424 is a gapful number since it is divisible by the number (24) 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 2438424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528360).

2438424 is an abundant number, since it is smaller than the sum of its proper divisors (4618296).

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

2438424 is a wasteful number, since it uses less digits than its factorization.

2438424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2438424 is about 1561.5453883893. The cubic root of 2438424 is about 134.5973185845.

The spelling of 2438424 in words is "two million, four hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 71 72 81 106 108 142 159 162 212 213 216 284 318 324 424 426 477 568 636 639 648 852 954 1272 1278 1431 1704 1908 1917 2556 2862 3763 3816 3834 4293 5112 5724 5751 7526 7668 8586 11289 11448 11502 15052 15336 17172 22578 23004 30104 33867 34344 45156 46008 67734 90312 101601 135468 203202 270936 304803 406404 609606 812808 1219212 2438424