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434441364 = 223720292549
BaseRepresentation
bin11001111001010…
…000110010010100
31010021110220111220
4121321100302110
51342204110424
6111035330340
713523455620
oct3171206224
91107426456
10434441364
1120325a255
121015b09b0
136c00ccc6
14419ac180
1528218579
hex19e50c94

434441364 has 48 divisors (see below), whose sum is σ = 1159536000. Its totient is φ = 124016256.

The previous prime is 434441321. The next prime is 434441377. The reversal of 434441364 is 463144434.

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

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 169162 + ... + 171710.

It is an arithmetic number, because the mean of its divisors is an integer number (24157000).

Almost surely, 2434441364 is an apocalyptic number.

It is an amenable number.

434441364 is an abundant number, since it is smaller than the sum of its proper divisors (725094636).

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

434441364 is a wasteful number, since it uses less digits than its factorization.

434441364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4590 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 434441364 is about 20843.2570391482. The cubic root of 434441364 is about 757.3739955320.

Adding to 434441364 its reverse (463144434), we get a palindrome (897585798).

The spelling of 434441364 in words is "four hundred thirty-four million, four hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2029 2549 4058 5098 6087 7647 8116 10196 12174 14203 15294 17843 24348 28406 30588 35686 42609 53529 56812 71372 85218 107058 170436 214116 5171921 10343842 15515763 20687684 31031526 36203447 62063052 72406894 108610341 144813788 217220682 434441364