Search a number
-
+
66769344 = 2632196101
BaseRepresentation
bin1111111010110…
…1000111000000
311122122020022200
43332231013000
5114043104334
610343033200
71440346545
oct376550700
9148566280
1066769344
1134764884
121a43b800
1310aaa1b5
148c20bcc
155cdd799
hex3fad1c0

66769344 has 84 divisors (see below), whose sum is σ = 201488040. Its totient is φ = 21081600.

The previous prime is 66769343. The next prime is 66769369. The reversal of 66769344 is 44396766.

It is a self number, because there is not a number n which added to its sum of digits gives 66769344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66769343) 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, 7894 + ... + 13994.

Almost surely, 266769344 is an apocalyptic number.

66769344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100744020).

66769344 is an abundant number, since it is smaller than the sum of its proper divisors (134718696).

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

66769344 is a wasteful number, since it uses less digits than its factorization.

66769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6125 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 66769344 is about 8171.2510670031. The cubic root of 66769344 is about 405.6881943528.

The spelling of 66769344 in words is "sixty-six million, seven hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 6101 10944 12202 18303 24404 36606 48808 54909 73212 97616 109818 115919 146424 195232 219636 231838 292848 347757 390464 439272 463676 585696 695514 878544 927352 1043271 1171392 1391028 1757088 1854704 2086542 2782056 3514176 3709408 4173084 5564112 7418816 8346168 11128224 16692336 22256448 33384672 66769344