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64480320 = 2633517439
BaseRepresentation
bin1111010111111…
…0010001000000
311111022221101000
43311332101000
5113001332240
610222012000
71412034162
oct365762100
9144287330
1064480320
1133441023
1219717000
1310488348
1487c6932
1559da430
hex3d7e440

64480320 has 224 divisors, whose sum is σ = 241401600. Its totient is φ = 16146432.

The previous prime is 64480309. The next prime is 64480379. The reversal of 64480320 is 2308446.

64480320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 146661 + ... + 147099.

Almost surely, 264480320 is an apocalyptic number.

64480320 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 64480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

64480320 is an abundant number, since it is smaller than the sum of its proper divisors (176921280).

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

64480320 is a wasteful number, since it uses less digits than its factorization.

64480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64480320 is about 8029.9638853484. The cubic root of 64480320 is about 400.9981737178.

Adding to 64480320 its reverse (2308446), we get a palindrome (66788766).

The spelling of 64480320 in words is "sixty-four million, four hundred eighty thousand, three hundred twenty".