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424464 = 24337239
BaseRepresentation
bin1100111101000010000
3210120020220
41213220100
5102040324
613033040
73415335
oct1475020
9716226
10424464
1126a9a7
12185780
1311b281
14b098c
1585b79
hex67a10

424464 has 40 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 137088.

The previous prime is 424451. The next prime is 424471. The reversal of 424464 is 464424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1657 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2424464 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 424464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

424464 is an abundant number, since it is smaller than the sum of its proper divisors (706416).

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

424464 is a wasteful number, since it uses less digits than its factorization.

424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 424464 is about 651.5090175892. The cubic root of 424464 is about 75.1531094428.

Adding to 424464 its reverse (464424), we get a palindrome (888888).

It can be divided in two parts, 424 and 464, that added together give a palindrome (888).

The spelling of 424464 in words is "four hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 239 296 444 478 592 717 888 956 1434 1776 1912 2868 3824 5736 8843 11472 17686 26529 35372 53058 70744 106116 141488 212232 424464