Search a number
-
+
674091528 = 233113122657
BaseRepresentation
bin101000001011011…
…101001000001000
31201222102101201220
4220023131020020
52340031412103
6150520042040
722463453265
oct5013351010
91658371656
10674091528
11316563a40
12169903320
13a986a836
146575226c
153e2a5c53
hex282dd208

674091528 has 96 divisors (see below), whose sum is σ = 1900363680. Its totient is φ = 197606400.

The previous prime is 674091503. The next prime is 674091529. The reversal of 674091528 is 825190476.

It is a super-3 number, since 3×6740915283 (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 674091528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674091529) 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 23 ways as a sum of consecutive naturals, for example, 252376 + ... + 255032.

It is an arithmetic number, because the mean of its divisors is an integer number (19795455).

Almost surely, 2674091528 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 674091528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950181840).

674091528 is an abundant number, since it is smaller than the sum of its proper divisors (1226272152).

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

674091528 is a wasteful number, since it uses less digits than its factorization.

674091528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 674091528 is about 25963.2726750693. The cubic root of 674091528 is about 876.8116057801.

The spelling of 674091528 in words is "six hundred seventy-four million, ninety-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 961 1023 1364 1922 2046 2657 2728 2883 3844 4092 5314 5766 7688 7971 8184 10571 10628 11532 15942 21142 21256 23064 29227 31713 31884 42284 58454 63426 63768 82367 84568 87681 116908 126852 164734 175362 233816 247101 253704 329468 350724 494202 658936 701448 906037 988404 1812074 1976808 2553377 2718111 3624148 5106754 5436222 7248296 7660131 10213508 10872444 15320262 20427016 21744888 28087147 30640524 56174294 61281048 84261441 112348588 168522882 224697176 337045764 674091528