Search a number
-
+
325809036 = 223272199721
BaseRepresentation
bin10011011010110…
…111001110001100
3211201001210222100
4103122313032030
51131401342121
652155115100
711034221400
oct2332671614
9751053870
10325809036
11157a02173
1291142a90
1352666317
14313b1100
151d90b026
hex136b738c

325809036 has 108 divisors (see below), whose sum is σ = 1008560280. Its totient is φ = 88179840.

The previous prime is 325809031. The next prime is 325809037. The reversal of 325809036 is 630908523.

325809036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (325809031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28656 + ... + 38376.

Almost surely, 2325809036 is an apocalyptic number.

325809036 is a gapful number since it is divisible by the number (36) 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 325809036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504280140).

325809036 is an abundant number, since it is smaller than the sum of its proper divisors (682751244).

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

325809036 is a wasteful number, since it uses less digits than its factorization.

325809036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9764 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 325809036 is about 18050.1810517236. The cubic root of 325809036 is about 688.1044634735.

It can be divided in two parts, 32580 and 9036, that added together give a triangular number (41616 = T288).

The spelling of 325809036 in words is "three hundred twenty-five million, eight hundred nine thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 9721 11172 16758 19442 29163 33516 38884 58326 68047 87489 116652 136094 174978 184699 204141 272188 349956 369398 408282 476329 554097 612423 738796 816564 952658 1108194 1224846 1292893 1428987 1662291 1905316 2216388 2449692 2585786 2857974 3324582 3878679 4286961 5171572 5715948 6649164 7757358 8573922 9050251 11636037 15514716 17147844 18100502 23272074 27150753 36201004 46544148 54301506 81452259 108603012 162904518 325809036