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64213380 = 2232571141113
BaseRepresentation
bin1111010011110…
…1000110000100
311110211101012100
43310331012010
5112414312010
610212152100
71406543010
oct364750604
9143741170
1064213380
1133279510
1219608630
13103c39aa
148757540
1559862c0
hex3d3d184

64213380 has 288 divisors, whose sum is σ = 250967808. Its totient is φ = 12902400.

The previous prime is 64213379. The next prime is 64213381. The reversal of 64213380 is 8331246.

It is a happy number.

64213380 is a `hidden beast` number, since 642 + 13 + 3 + 8 + 0 = 666.

64213380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64213379) and next prime (64213381).

It is not an unprimeable number, because it can be changed into a prime (64213381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568204 + ... + 568316.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 264213380 is an apocalyptic number.

64213380 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 64213380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

64213380 is an abundant number, since it is smaller than the sum of its proper divisors (186754428).

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

64213380 is a wasteful number, since it uses less digits than its factorization.

64213380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64213380 is about 8013.3251525194. The cubic root of 64213380 is about 400.4440485365. Note that the first 3 decimals are identical.

It can be divided in two parts, 6421 and 3380, that added together give a square (9801 = 992).

The spelling of 64213380 in words is "sixty-four million, two hundred thirteen thousand, three hundred eighty".