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641424 = 24372383
BaseRepresentation
bin10011100100110010000
31012120212110
42130212100
5131011144
621425320
75311020
oct2344620
91176773
10641424
113a8a03
1226b240
13195c54
14129a80
15ca0b9
hex9c990

641424 has 80 divisors (see below), whose sum is σ = 1999872. Its totient is φ = 173184.

The previous prime is 641419. The next prime is 641437. The reversal of 641424 is 424146.

It is a super-2 number, since 2×6414242 = 822849495552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 641424.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 641424.

It is an unprimeable number.

641424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7687 + ... + 7769.

2641424 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 641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936).

641424 is an abundant number, since it is smaller than the sum of its proper divisors (1358448).

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

641424 is a wasteful number, since it uses less digits than its factorization.

641424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 641424 is about 800.8895054875. The cubic root of 641424 is about 86.2412551520.

It can be divided in two parts, 64142 and 4, that added together give a palindrome (64146).

The spelling of 641424 in words is "six hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 83 84 92 112 138 161 166 168 184 249 276 322 332 336 368 483 498 552 581 644 664 966 996 1104 1162 1288 1328 1743 1909 1932 1992 2324 2576 3486 3818 3864 3984 4648 5727 6972 7636 7728 9296 11454 13363 13944 15272 22908 26726 27888 30544 40089 45816 53452 80178 91632 106904 160356 213808 320712 641424