Search a number
-
+
325307190 = 235135211601
BaseRepresentation
bin10011011000111…
…100101100110110
3211200010022120110
4103120330230312
51131234312230
652140243450
711030031315
oct2330745466
9750108513
10325307190
1115769a11a
1290b40586
135251ba80
14312c027c
151d85c4b0
hex1363cb36

325307190 has 64 divisors (see below), whose sum is σ = 842933952. Its totient is φ = 79872000.

The previous prime is 325307183. The next prime is 325307197. The reversal of 325307190 is 91703523.

It is an interprime number because it is at equal distance from previous prime (325307183) and next prime (325307197).

It is a super-2 number, since 2×3253071902 = 211649535731392200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325307197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202390 + ... + 203990.

It is an arithmetic number, because the mean of its divisors is an integer number (13170843).

Almost surely, 2325307190 is an apocalyptic number.

325307190 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 325307190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421466976).

325307190 is an abundant number, since it is smaller than the sum of its proper divisors (517626762).

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

325307190 is a wasteful number, since it uses less digits than its factorization.

325307190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 325307190 is about 18036.2742826782. The cubic root of 325307190 is about 687.7509845056.

The spelling of 325307190 in words is "three hundred twenty-five million, three hundred seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 521 1042 1563 1601 2605 3126 3202 4803 5210 6773 7815 8005 9606 13546 15630 16010 20319 20813 24015 33865 40638 41626 48030 62439 67730 101595 104065 124878 203190 208130 312195 624390 834121 1668242 2502363 4170605 5004726 8341210 10843573 12511815 21687146 25023630 32530719 54217865 65061438 108435730 162653595 325307190