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66340248 = 2331319331
BaseRepresentation
bin1111110100010…
…0010110011000
311121211102201020
43331010112120
5113440341443
610325522440
71433611542
oct375042630
9147742636
1066340248
11344a1457
121a273420
1310989ab0
148b4c692
155c56583
hex3f44598

66340248 has 128 divisors (see below), whose sum is σ = 194611200. Its totient is φ = 18714240.

The previous prime is 66340247. The next prime is 66340277. The reversal of 66340248 is 84204366.

66340248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66340247) 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 31 ways as a sum of consecutive naturals, for example, 2139993 + ... + 2140023.

It is an arithmetic number, because the mean of its divisors is an integer number (1520400).

Almost surely, 266340248 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 66340248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97305600).

66340248 is an abundant number, since it is smaller than the sum of its proper divisors (128270952).

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

66340248 is a wasteful number, since it uses less digits than its factorization.

66340248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 66340248 is about 8144.9523018861. The cubic root of 66340248 is about 404.8172685796.

The spelling of 66340248 in words is "sixty-six million, three hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 361 372 403 456 494 589 722 741 744 806 988 1083 1178 1209 1444 1482 1612 1767 1976 2166 2356 2418 2888 2964 3224 3534 4332 4693 4712 4836 5928 6859 7068 7657 8664 9386 9672 11191 13718 14079 14136 15314 18772 20577 22382 22971 27436 28158 30628 33573 37544 41154 44764 45942 54872 56316 61256 67146 82308 89167 89528 91884 112632 134292 145483 164616 178334 183768 212629 267501 268584 290966 356668 425258 436449 535002 581932 637887 713336 850516 872898 1070004 1163864 1275774 1701032 1745796 2140008 2551548 2764177 3491592 5103096 5528354 8292531 11056708 16585062 22113416 33170124 66340248