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64047340 = 22573111471
BaseRepresentation
bin1111010001010…
…0100011101100
311110111221102201
43310110203230
5112344003330
610204431244
71405251640
oct364244354
9143457381
1064047340
1133175795
1219548524
1310366246
148712c20
155951eca
hex3d148ec

64047340 has 48 divisors (see below), whose sum is σ = 154312704. Its totient is φ = 21873600.

The previous prime is 64047329. The next prime is 64047349. The reversal of 64047340 is 4374046.

64047340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×640473402 = 8204123522151200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 64047299 and 64047308.

It is not an unprimeable number, because it can be changed into a prime (64047349) 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 15 ways as a sum of consecutive naturals, for example, 42805 + ... + 44275.

It is an arithmetic number, because the mean of its divisors is an integer number (3214848).

Almost surely, 264047340 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 64047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77156352).

64047340 is an abundant number, since it is smaller than the sum of its proper divisors (90265364).

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

64047340 is a wasteful number, since it uses less digits than its factorization.

64047340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 64047340 is about 8002.9582030647. The cubic root of 64047340 is about 400.0986006928.

The spelling of 64047340 in words is "sixty-four million, forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 311 622 1244 1471 1555 2177 2942 3110 4354 5884 6220 7355 8708 10297 10885 14710 20594 21770 29420 41188 43540 51485 102970 205940 457481 914962 1829924 2287405 3202367 4574810 6404734 9149620 12809468 16011835 32023670 64047340