Search a number
-
+
64814336 = 281753281
BaseRepresentation
bin1111011100111…
…1110100000000
311111221220112222
43313033310000
5113043024321
610233110212
71414625036
oct367176400
9144856488
1064814336
1133649a74
1219858368
13105743a2
148872556
155a543ab
hex3dcfd00

64814336 has 72 divisors (see below), whose sum is σ = 140067144. Its totient is φ = 29818880.

The previous prime is 64814327. The next prime is 64814359. The reversal of 64814336 is 63341846.

It can be written as a sum of positive squares in 4 ways, for example, as 29767936 + 35046400 = 5456^2 + 5920^2 .

It is a super-2 number, since 2×648143362 = 8401796302241792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64814296 and 64814305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230516 + ... + 230796.

It is an arithmetic number, because the mean of its divisors is an integer number (1945377).

Almost surely, 264814336 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 64814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70033572).

64814336 is an abundant number, since it is smaller than the sum of its proper divisors (75252808).

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

64814336 is a wasteful number, since it uses less digits than its factorization.

64814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 64814336 is about 8050.7351217140. The cubic root of 64814336 is about 401.6893882071.

The spelling of 64814336 in words is "sixty-four million, eight hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 281 424 544 562 848 901 1088 1124 1696 1802 2176 2248 3392 3604 4352 4496 4777 6784 7208 8992 9554 13568 14416 14893 17984 19108 28832 29786 35968 38216 57664 59572 71936 76432 115328 119144 152864 230656 238288 253181 305728 476576 506362 611456 953152 1012724 1222912 1906304 2025448 3812608 4050896 8101792 16203584 32407168 64814336