Search a number
-
+
430350 = 235219151
BaseRepresentation
bin1101001000100001110
3210212022220
41221010032
5102232400
613120210
73441444
oct1510416
9725286
10430350
11274368
12189066
13120b5b
14b2b94
15877a0
hex6910e

430350 has 48 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 108000.

The previous prime is 430343. The next prime is 430357. The reversal of 430350 is 53034.

It is an interprime number because it is at equal distance from previous prime (430343) and next prime (430357).

It is a super-2 number, since 2×4303502 = 370402245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430357) by changing a digit.

430350 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 23 ways as a sum of consecutive naturals, for example, 2775 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (23560).

2430350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

430350 is an abundant number, since it is smaller than the sum of its proper divisors (700530).

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

430350 is a wasteful number, since it uses less digits than its factorization.

430350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 430350 is about 656.0106706449. The cubic root of 430350 is about 75.4988962311.

Adding to 430350 its reverse (53034), we get a palindrome (483384).

It can be divided in two parts, 430 and 350, that added together give a triangular number (780 = T39).

The spelling of 430350 in words is "four hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 151 190 285 302 453 475 570 755 906 950 1425 1510 2265 2850 2869 3775 4530 5738 7550 8607 11325 14345 17214 22650 28690 43035 71725 86070 143450 215175 430350