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424380 = 223511643
BaseRepresentation
bin1100111100110111100
3210120010210
41213212330
5102040010
613032420
73415155
oct1474674
9716123
10424380
1126a930
12185710
1311b218
14b092c
1585b20
hex679bc

424380 has 48 divisors (see below), whose sum is σ = 1298304. Its totient is φ = 102720.

The previous prime is 424351. The next prime is 424397. The reversal of 424380 is 83424.

It is a happy number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

424380 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 15 ways as a sum of consecutive naturals, for example, 339 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (27048).

2424380 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 424380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649152).

424380 is an abundant number, since it is smaller than the sum of its proper divisors (873924).

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

424380 is a wasteful number, since it uses less digits than its factorization.

424380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 424380 is about 651.4445486762. Note that the first 3 decimals coincide. The cubic root of 424380 is about 75.1481515998.

The spelling of 424380 in words is "four hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 643 660 1286 1929 2572 3215 3858 6430 7073 7716 9645 12860 14146 19290 21219 28292 35365 38580 42438 70730 84876 106095 141460 212190 424380