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66340 = 22531107
BaseRepresentation
bin10000001100100100
310101000001
4100030210
54110330
61231044
7364261
oct201444
9111001
1066340
114592a
1232484
1324271
141a268
15149ca
hex10324

66340 has 24 divisors (see below), whose sum is σ = 145152. Its totient is φ = 25440.

The previous prime is 66337. The next prime is 66343. The reversal of 66340 is 4366.

It can be divided in two parts, 663 and 40, that added together give a triangular number (703 = T37).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66337) and next prime (66343).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

266340 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 66340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

66340 is an abundant number, since it is smaller than the sum of its proper divisors (78812).

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

66340 is a wasteful number, since it uses less digits than its factorization.

66340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 66340 is about 257.5655256435. The cubic root of 66340 is about 40.4816764136.

The spelling of 66340 in words is "sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 107 124 155 214 310 428 535 620 1070 2140 3317 6634 13268 16585 33170 66340