Search a number
-
+
424122342 = 237237127307
BaseRepresentation
bin11001010001111…
…001011111100110
31002120001122110220
4121101321133212
51332033403332
6110030225210
713336660200
oct3121713746
91076048426
10424122342
111a8451436
12ba055206
1369b39187
1440483770
152737ad2c
hex194797e6

424122342 has 96 divisors (see below), whose sum is σ = 1024708608. Its totient is φ = 116593344.

The previous prime is 424122337. The next prime is 424122359. The reversal of 424122342 is 243221424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381353 + ... + 1381659.

It is an arithmetic number, because the mean of its divisors is an integer number (10674048).

Almost surely, 2424122342 is an apocalyptic number.

424122342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 424122342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512354304).

424122342 is an abundant number, since it is smaller than the sum of its proper divisors (600586266).

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

424122342 is a wasteful number, since it uses less digits than its factorization.

424122342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 424122342 is about 20594.2307940841. The cubic root of 424122342 is about 751.3294004226.

Adding to 424122342 its reverse (243221424), we get a palindrome (667343766).

The spelling of 424122342 in words is "four hundred twenty-four million, one hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 127 147 222 254 259 294 307 381 518 614 762 777 889 921 1554 1778 1813 1842 2149 2667 3626 4298 4699 5334 5439 6223 6447 9398 10878 11359 12446 12894 14097 15043 18669 22718 28194 30086 32893 34077 37338 38989 45129 65786 68154 77978 79513 90258 98679 116967 159026 197358 230251 233934 238539 272923 460502 477078 545846 556591 690753 818769 1113182 1381506 1442593 1637538 1669773 1910461 2885186 3339546 3820922 4327779 5731383 8655558 10098151 11462766 20196302 30294453 60588906 70687057 141374114 212061171 424122342