Search a number
-
+
42343224 = 23371122083
BaseRepresentation
bin1010000110000…
…1101100111000
32221200020222120
42201201230320
541314440344
64111321240
71022624430
oct241415470
987606876
1042343224
11219a1100
1212220220
138a07281
1458a32c0
153ab6219
hex2861b38

42343224 has 96 divisors (see below), whose sum is σ = 133042560. Its totient is φ = 10992960.

The previous prime is 42343199. The next prime is 42343291. The reversal of 42343224 is 42234324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 42343194 and 42343203.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19287 + ... + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (1385860).

Almost surely, 242343224 is an apocalyptic number.

42343224 is a gapful number since it is divisible by the number (44) 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 42343224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66521280).

42343224 is an abundant number, since it is smaller than the sum of its proper divisors (90699336).

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

42343224 is a wasteful number, since it uses less digits than its factorization.

42343224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 42343224 is about 6507.1671255624. The cubic root of 42343224 is about 348.5469665202.

Adding to 42343224 its reverse (42234324), we get a palindrome (84577548).

Subtracting from 42343224 its reverse (42234324), we obtain a square (108900 = 3302).

The spelling of 42343224 in words is "forty-two million, three hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2083 2541 2904 3388 4166 5082 6249 6776 8332 10164 12498 14581 16664 20328 22913 24996 29162 43743 45826 49992 58324 68739 87486 91652 116648 137478 160391 174972 183304 252043 274956 320782 349944 481173 504086 549912 641564 756129 962346 1008172 1283128 1512258 1764301 1924692 2016344 3024516 3528602 3849384 5292903 6049032 7057204 10585806 14114408 21171612 42343224