Search a number
-
+
373230 = 2325111329
BaseRepresentation
bin1011011000111101110
3200221222100
41123013232
543420410
611555530
73113064
oct1330756
9627870
10373230
11235460
1215bba6
13100b60
149a034
15758c0
hex5b1ee

373230 has 96 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 80640.

The previous prime is 373229. The next prime is 373231. The reversal of 373230 is 32373.

It is an interprime number because it is at equal distance from previous prime (373229) and next prime (373231).

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

It is a d-powerful number, because it can be written as 34 + 75 + 211 + 311 + 311 + 0 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 373230.

It is not an unprimeable number, because it can be changed into a prime (373231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12856 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2373230 is an apocalyptic number.

373230 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 373230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

373230 is an abundant number, since it is smaller than the sum of its proper divisors (806130).

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

373230 is a wasteful number, since it uses less digits than its factorization.

373230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

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

The square root of 373230 is about 610.9255273763. The cubic root of 373230 is about 71.9988425740.

Adding to 373230 its sum of digits (18), we get a cube (373248 = 723).

The spelling of 373230 in words is "three hundred seventy-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 29 30 33 39 45 55 58 65 66 78 87 90 99 110 117 130 143 145 165 174 195 198 234 261 286 290 319 330 377 390 429 435 495 522 585 638 715 754 858 870 957 990 1131 1170 1287 1305 1430 1595 1885 1914 2145 2262 2574 2610 2871 3190 3393 3770 4147 4290 4785 5655 5742 6435 6786 8294 9570 11310 12441 12870 14355 16965 20735 24882 28710 33930 37323 41470 62205 74646 124410 186615 373230