Search a number
-
+
67304288 = 2541431193
BaseRepresentation
bin1000000001011…
…11101101100000
311200122102010102
410000233231200
5114212214123
610402321532
71445035262
oct400575540
9150572112
1067304288
1134a9a787
121a6592a8
1310c3682c
148d1db32
155d97028
hex402fb60

67304288 has 48 divisors (see below), whose sum is σ = 139010256. Its totient is φ = 32040960.

The previous prime is 67304267. The next prime is 67304297. The reversal of 67304288 is 88240376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55820 + ... + 57012.

It is an arithmetic number, because the mean of its divisors is an integer number (2896047).

Almost surely, 267304288 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 67304288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69505128).

67304288 is an abundant number, since it is smaller than the sum of its proper divisors (71705968).

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

67304288 is a wasteful number, since it uses less digits than its factorization.

67304288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 67304288 is about 8203.9190634720. The cubic root of 67304288 is about 406.7687474037.

The spelling of 67304288 in words is "sixty-seven million, three hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 328 344 656 688 1193 1312 1376 1763 2386 3526 4772 7052 9544 14104 19088 28208 38176 48913 51299 56416 97826 102598 195652 205196 391304 410392 782608 820784 1565216 1641568 2103259 4206518 8413036 16826072 33652144 67304288