Search a number
-
+
425340 = 2232517139
BaseRepresentation
bin1100111110101111100
3210121110100
41213311330
5102102330
613041100
73421026
oct1476574
9717410
10425340
11270623
12186190
1311b7a6
14b1016
1586060
hex67d7c

425340 has 72 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 105984.

The previous prime is 425333. The next prime is 425363. The reversal of 425340 is 43524.

It is a happy number.

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.

425340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991 + ... + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2425340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

425340 is an abundant number, since it is smaller than the sum of its proper divisors (950580).

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

425340 is a wasteful number, since it uses less digits than its factorization.

425340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 425340 is about 652.1809564837. The cubic root of 425340 is about 75.2047737274.

Adding to 425340 its reverse (43524), we get a palindrome (468864).

The spelling of 425340 in words is "four hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 139 153 170 180 204 255 278 306 340 417 510 556 612 695 765 834 1020 1251 1390 1530 1668 2085 2363 2502 2780 3060 4170 4726 5004 6255 7089 8340 9452 11815 12510 14178 21267 23630 25020 28356 35445 42534 47260 70890 85068 106335 141780 212670 425340