Search a number
-
+
66364344 = 23328771051
BaseRepresentation
bin1111110100101…
…0001110111000
311121212122202200
43331022032320
5113442124334
610330230200
71434042024
oct375121670
9147778680
1066364344
1134508572
121a285360
1310997a57
148b57384
155c5d799
hex3f4a3b8

66364344 has 48 divisors (see below), whose sum is σ = 180112920. Its totient is φ = 22075200.

The previous prime is 66364343. The next prime is 66364367. The reversal of 66364344 is 44346366.

66364344 is a `hidden beast` number, since 6 + 6 + 3 + 643 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66364299 and 66364308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66364343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62619 + ... + 63669.

Almost surely, 266364344 is an apocalyptic number.

It is an amenable number.

66364344 is an abundant number, since it is smaller than the sum of its proper divisors (113748576).

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

66364344 is a wasteful number, since it uses less digits than its factorization.

66364344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1933 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 66364344 is about 8146.4313659418. The cubic root of 66364344 is about 404.8662750095.

It can be divided in two parts, 663643 and 44, that multiplied together give a palindrome (29200292).

The spelling of 66364344 in words is "sixty-six million, three hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 877 1051 1754 2102 2631 3153 3508 4204 5262 6306 7016 7893 8408 9459 10524 12612 15786 18918 21048 25224 31572 37836 63144 75672 921727 1843454 2765181 3686908 5530362 7373816 8295543 11060724 16591086 22121448 33182172 66364344