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6374424 = 2337191997
BaseRepresentation
bin11000010100010000011000
3102222212001210
4120110100120
53112440144
6344343120
7105116220
oct30242030
912885053
106374424
113664221
122174aa0
131422564
14bbd080
1585dab9
hex614418

6374424 has 64 divisors (see below), whose sum is σ = 19180800. Its totient is φ = 1724544.

The previous prime is 6374399. The next prime is 6374477. The reversal of 6374424 is 4244736.

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

It is a d-powerful number, because it can be written as 62 + 39 + 78 + 42 + 43 + 219 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 6374391 and 6374400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2194 + ... + 4190.

It is an arithmetic number, because the mean of its divisors is an integer number (299700).

Almost surely, 26374424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590400).

6374424 is an abundant number, since it is smaller than the sum of its proper divisors (12806376).

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

6374424 is a wasteful number, since it uses less digits than its factorization.

6374424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2028 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 6374424 is about 2524.7621670169. The cubic root of 6374424 is about 185.4159038362.

The spelling of 6374424 in words is "six million, three hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 1997 3192 3994 5991 7988 11982 13979 15976 23964 27958 37943 41937 47928 55916 75886 83874 111832 113829 151772 167748 227658 265601 303544 335496 455316 531202 796803 910632 1062404 1593606 2124808 3187212 6374424