Search a number
-
+
67340768 = 25111131693
BaseRepresentation
bin1000000001110…
…00100111100000
311200201021011112
410000320213200
5114214401033
610403202452
71445246525
oct400704740
9150637145
1067340768
1135015130
121a676428
1310c4a311
148d2d14c
155da2c48
hex40389e0

67340768 has 48 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 30320640.

The previous prime is 67340759. The next prime is 67340789. The reversal of 67340768 is 86704376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38930 + ... + 40622.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 267340768 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 67340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

67340768 is an abundant number, since it is smaller than the sum of its proper divisors (78654928).

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

67340768 is a wasteful number, since it uses less digits than its factorization.

67340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 67340768 is about 8206.1420899226. The cubic root of 67340768 is about 406.8422258510.

The spelling of 67340768 in words is "sixty-seven million, three hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 904 1243 1693 1808 2486 3386 3616 4972 6772 9944 13544 18623 19888 27088 37246 39776 54176 74492 148984 191309 297968 382618 595936 765236 1530472 2104399 3060944 4208798 6121888 8417596 16835192 33670384 67340768