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641424420 = 2234571319229
BaseRepresentation
bin100110001110110…
…101110000100100
31122200221201220000
4212032311300210
52303201040140
6143351541300
721616006020
oct4616656044
91580851800
10641424420
112aa08172a
1215a98a830
13a2b708a0
146128b380
153b4a1a30
hex263b5c24

641424420 has 480 divisors, whose sum is σ = 2618246400. Its totient is φ = 127650816.

The previous prime is 641424419. The next prime is 641424449. The reversal of 641424420 is 24424146.

It is a happy number.

641424420 is a `hidden beast` number, since 6 + 414 + 244 + 2 + 0 = 666.

It is a super-2 number, since 2×6414244202 = 822850573144672800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2800866 + ... + 2801094.

It is an arithmetic number, because the mean of its divisors is an integer number (5454680).

Almost surely, 2641424420 is an apocalyptic number.

641424420 is a gapful number since it is divisible by the number (60) 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 641424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309123200).

641424420 is an abundant number, since it is smaller than the sum of its proper divisors (1976821980).

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

641424420 is a wasteful number, since it uses less digits than its factorization.

641424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

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

The square root of 641424420 is about 25326.3582064220. The cubic root of 641424420 is about 862.4127397543.

Adding to 641424420 its reverse (24424146), we get a palindrome (665848566).

The spelling of 641424420 in words is "six hundred forty-one million, four hundred twenty-four thousand, four hundred twenty".