Search a number
-
+
64336104 = 233271071193
BaseRepresentation
bin1111010101101…
…1000011101000
311111001121112200
43311123003220
5112432223404
610214540200
71410563550
oct365330350
9144047480
1064336104
1133352738
1219667660
1310437801
14878a160
1559ac839
hex3d5b0e8

64336104 has 96 divisors (see below), whose sum is σ = 201165120. Its totient is φ = 18194688.

The previous prime is 64336087. The next prime is 64336157. The reversal of 64336104 is 40163346.

64336104 is a `hidden beast` number, since 6 + 43 + 3 + 610 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53332 + ... + 54524.

It is an arithmetic number, because the mean of its divisors is an integer number (2095470).

Almost surely, 264336104 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 64336104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100582560).

64336104 is an abundant number, since it is smaller than the sum of its proper divisors (136829016).

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

64336104 is a wasteful number, since it uses less digits than its factorization.

64336104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64336104 is about 8020.9789926168. The cubic root of 64336104 is about 400.6989944720.

The spelling of 64336104 in words is "sixty-four million, three hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 504 642 749 856 963 1193 1284 1498 1926 2247 2386 2568 2996 3579 3852 4494 4772 5992 6741 7158 7704 8351 8988 9544 10737 13482 14316 16702 17976 21474 25053 26964 28632 33404 42948 50106 53928 66808 75159 85896 100212 127651 150318 200424 255302 300636 382953 510604 601272 765906 893557 1021208 1148859 1531812 1787114 2297718 2680671 3063624 3574228 4595436 5361342 7148456 8042013 9190872 10722684 16084026 21445368 32168052 64336104