Search a number
-
+
674436880 = 245134115817
BaseRepresentation
bin101000001100110…
…001011100010000
31202000001221110201
4220030301130100
52340123440010
6150531304544
722466422165
oct5014613420
91660057421
10674436880
1131677a457
12169a4b154
13a995baa0
146580206c
153e32323a
hex28331710

674436880 has 80 divisors (see below), whose sum is σ = 1729983024. Its totient is φ = 242933760.

The previous prime is 674436871. The next prime is 674436883. The reversal of 674436880 is 88634476.

It can be written as a sum of positive squares in 8 ways, for example, as 68095504 + 606341376 = 8252^2 + 24624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×6744368803 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 674436880.

It is not an unprimeable number, because it can be changed into a prime (674436883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34732 + ... + 50548.

Almost surely, 2674436880 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 674436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864991512).

674436880 is an abundant number, since it is smaller than the sum of its proper divisors (1055546144).

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

674436880 is a wasteful number, since it uses less digits than its factorization.

674436880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15884 (or 15878 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 674436880 is about 25969.9226028881. The cubic root of 674436880 is about 876.9613168762.

The spelling of 674436880 in words is "six hundred seventy-four million, four hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 10660 15817 21320 31634 42640 63268 79085 126536 158170 205621 253072 316340 411242 632680 648497 822484 1028105 1265360 1296994 1644968 2056210 2593988 3242485 3289936 4112420 5187976 6484970 8224840 8430461 10375952 12969940 16449680 16860922 25939880 33721844 42152305 51879760 67443688 84304610 134887376 168609220 337218440 674436880