Search a number
-
+
325740 = 22356189
BaseRepresentation
bin1001111100001101100
3121112211110
41033201230
540410430
610552020
72524452
oct1174154
9545743
10325740
11202808
12138610
13b535c
14869d2
15667b0
hex4f86c

325740 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 84480.

The previous prime is 325729. The next prime is 325747. The reversal of 325740 is 47523.

325740 = 702 + 712 + ... + 1092.

It is a happy number.

It is a super-2 number, since 2×3257402 = 212213095200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325740.

It is not an unprimeable number, because it can be changed into a prime (325747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3616 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2325740 is an apocalyptic number.

325740 is a gapful number since it is divisible by the number (30) 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 325740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

325740 is an abundant number, since it is smaller than the sum of its proper divisors (611700).

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

325740 is a wasteful number, since it uses less digits than its factorization.

325740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 325740 is about 570.7363664600. The cubic root of 325740 is about 68.8055858994.

Subtracting from 325740 its product of nonzero digits (840), we obtain a square (324900 = 5702).

The spelling of 325740 in words is "three hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 89 122 178 183 244 267 305 356 366 445 534 610 732 890 915 1068 1220 1335 1780 1830 2670 3660 5340 5429 10858 16287 21716 27145 32574 54290 65148 81435 108580 162870 325740