Search a number
-
+
173430 = 23254147
BaseRepresentation
bin101010010101110110
322210220100
4222111312
521022210
63414530
71321425
oct522566
9283810
10173430
11109334
1284446
1360c2a
14472bc
15365c0
hex2a576

173430 has 48 divisors (see below), whose sum is σ = 471744. Its totient is φ = 44160.

The previous prime is 173429. The next prime is 173431. The reversal of 173430 is 34371.

It is an interprime number because it is at equal distance from previous prime (173429) and next prime (173431).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3667 + ... + 3713.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2173430 is an apocalyptic number.

173430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 173430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

173430 is an abundant number, since it is smaller than the sum of its proper divisors (298314).

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

173430 is a wasteful number, since it uses less digits than its factorization.

173430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 173430 is about 416.4492766232. The cubic root of 173430 is about 55.7666737448.

It can be divided in two parts, 1734 and 30, that added together give a square (1764 = 422).

The spelling of 173430 in words is "one hundred seventy-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 47 82 90 94 123 141 205 235 246 282 369 410 423 470 615 705 738 846 1230 1410 1845 1927 2115 3690 3854 4230 5781 9635 11562 17343 19270 28905 34686 57810 86715 173430