Search a number
-
+
323730 = 233511109
BaseRepresentation
bin1001111000010010010
3121110002000
41033002102
540324410
610534430
72515551
oct1170222
9543060
10323730
11201250
12137416
13b4474
1485d98
1565dc0
hex4f092

323730 has 64 divisors (see below), whose sum is σ = 950400. Its totient is φ = 77760.

The previous prime is 323717. The next prime is 323759. The reversal of 323730 is 37323.

It is a super-2 number, since 2×3237302 = 209602225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

323730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2916 + ... + 3024.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2323730 is an apocalyptic number.

323730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

323730 is an abundant number, since it is smaller than the sum of its proper divisors (626670).

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

323730 is a wasteful number, since it uses less digits than its factorization.

323730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 323730 is about 568.9727585746. The cubic root of 323730 is about 68.6637706804.

The spelling of 323730 in words is "three hundred twenty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 109 110 135 165 198 218 270 297 327 330 495 545 594 654 981 990 1090 1199 1485 1635 1962 2398 2943 2970 3270 3597 4905 5886 5995 7194 9810 10791 11990 14715 17985 21582 29430 32373 35970 53955 64746 107910 161865 323730