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434441124 = 223313378363
BaseRepresentation
bin11001111001010…
…000101110100100
31010021110220012000
4121321100232210
51342204103444
6111035325300
713523455125
oct3171205644
91107426160
10434441124
1120325a057
121015b0830
136c00cb70
14419ac04c
1528218469
hex19e50ba4

434441124 has 96 divisors (see below), whose sum is σ = 1245901440. Its totient is φ = 130045824.

The previous prime is 434441123. The next prime is 434441179. The reversal of 434441124 is 421144434.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (434441123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47767 + ... + 56129.

It is an arithmetic number, because the mean of its divisors is an integer number (12978140).

Almost surely, 2434441124 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 434441124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622950720).

434441124 is an abundant number, since it is smaller than the sum of its proper divisors (811460316).

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

434441124 is a wasteful number, since it uses less digits than its factorization.

434441124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8418 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 434441124 is about 20843.2512818898. The cubic root of 434441124 is about 757.3738560657.

Adding to 434441124 its reverse (421144434), we get a palindrome (855585558).

The spelling of 434441124 in words is "four hundred thirty-four million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1404 1443 1924 1998 2886 3996 4329 5772 8363 8658 12987 16726 17316 25089 25974 33452 50178 51948 75267 100356 108719 150534 217438 225801 301068 309431 326157 434876 451602 618862 652314 903204 928293 978471 1237724 1304628 1856586 1956942 2784879 2935413 3713172 3913884 4022603 5569758 5870826 8045206 8354637 11139516 11741652 12067809 16090412 16709274 24135618 33418548 36203427 48271236 72406854 108610281 144813708 217220562 434441124