Search a number
-
+
64943424 = 2633721359
BaseRepresentation
bin1111011110111…
…1010101000000
311112012110122000
43313233111000
5113111142144
610235544000
71416003300
oct367572500
9145173560
1064943424
1133727a57
12198bb000
13105bb080
1488a7600
155a7c769
hex3def540

64943424 has 336 divisors, whose sum is σ = 243230400. Its totient is φ = 16837632.

The previous prime is 64943413. The next prime is 64943443. The reversal of 64943424 is 42434946.

64943424 is a `hidden beast` number, since 649 + 4 + 3 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100707 + ... + 1100765.

It is an arithmetic number, because the mean of its divisors is an integer number (723900).

Almost surely, 264943424 is an apocalyptic number.

64943424 is a gapful number since it is divisible by the number (64) 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 64943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121615200).

64943424 is an abundant number, since it is smaller than the sum of its proper divisors (178286976).

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

64943424 is a wasteful number, since it uses less digits than its factorization.

64943424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64943424 is about 8058.7482899021. The cubic root of 64943424 is about 401.9558873404.

The spelling of 64943424 in words is "sixty-four million, nine hundred forty-three thousand, four hundred twenty-four".