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64378460 = 22519191887
BaseRepresentation
bin1111010110010…
…1011001011100
311111010202122102
43311211121130
5112440102320
610215504232
71411131206
oct365453134
9144122572
1064378460
1133381543
1219688078
1310450b83
14879b776
1559ba175
hex3d6565c

64378460 has 48 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 24240960.

The previous prime is 64378453. The next prime is 64378493. The reversal of 64378460 is 6487346.

64378460 = T379 + T380 + ... + T760.

It is a happy number.

It is a super-2 number, since 2×643784602 = 8289172223943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72137 + ... + 73023.

It is an arithmetic number, because the mean of its divisors is an integer number (2983680).

Almost surely, 264378460 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 64378460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

64378460 is an abundant number, since it is smaller than the sum of its proper divisors (78838180).

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

64378460 is a wasteful number, since it uses less digits than its factorization.

64378460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 64378460 is about 8023.6188842691. The cubic root of 64378460 is about 400.7869092527.

The spelling of 64378460 in words is "sixty-four million, three hundred seventy-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 191 380 382 764 887 955 1774 1910 3548 3629 3820 4435 7258 8870 14516 16853 17740 18145 33706 36290 67412 72580 84265 168530 169417 337060 338834 677668 847085 1694170 3218923 3388340 6437846 12875692 16094615 32189230 64378460