Search a number
-
+
67742304 = 2537214401
BaseRepresentation
bin1000000100110…
…10101001100000
311201110122222020
410002122221200
5114320223204
610415541440
71451541300
oct402325140
9151418866
1067742304
1135269883
121a82a880
131105b006
148dd5600
155e31bd9
hex409aa60

67742304 has 72 divisors (see below), whose sum is σ = 206870328. Its totient is φ = 19353600.

The previous prime is 67742303. The next prime is 67742309. The reversal of 67742304 is 40324776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67742303) 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, 2497 + ... + 11904.

It is an arithmetic number, because the mean of its divisors is an integer number (2873199).

Almost surely, 267742304 is an apocalyptic number.

It is an amenable number.

67742304 is an abundant number, since it is smaller than the sum of its proper divisors (139128024).

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

67742304 is a wasteful number, since it uses less digits than its factorization.

67742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14428 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 67742304 is about 8230.5713045936. The cubic root of 67742304 is about 407.6492564266.

It can be divided in two parts, 67 and 742304, that added together give a triangular number (742371 = T1218).

The spelling of 67742304 in words is "sixty-seven million, seven hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 14401 28802 43203 57604 86406 100807 115208 172812 201614 230416 302421 345624 403228 460832 604842 691248 705649 806456 1209684 1382496 1411298 1612912 2116947 2419368 2822596 3225824 4233894 4838736 5645192 8467788 9677472 11290384 16935576 22580768 33871152 67742304