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302444505424 = 24971136612609
BaseRepresentation
bin1000110011010110001…
…10001110100101010000
31001220122212200202210001
410121223012032211100
514423401243133144
6350535135215344
730564566610325
oct4315306164520
91056585622701
10302444505424
111072a2047416
124a748077554
132269c3caa19
14108d1a68b4c
157d020c6bd4
hex466b18e950

302444505424 has 80 divisors (see below), whose sum is σ = 598399356240. Its totient is φ = 148057620480.

The previous prime is 302444505413. The next prime is 302444505427. The reversal of 302444505424 is 424505444203.

It can be written as a sum of positive squares in 8 ways, for example, as 12427790400 + 290016715024 = 111480^2 + 538532^2 .

It is a super-2 number, since 2×3024445054242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302444505427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115922232 + ... + 115924840.

It is an arithmetic number, because the mean of its divisors is an integer number (7479991953).

Almost surely, 2302444505424 is an apocalyptic number.

It is an amenable number.

302444505424 is a deficient number, since it is larger than the sum of its proper divisors (295954850816).

302444505424 is a wasteful number, since it uses less digits than its factorization.

302444505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

Adding to 302444505424 its reverse (424505444203), we get a palindrome (726949949627).

The spelling of 302444505424 in words is "three hundred two billion, four hundred forty-four million, five hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 97 113 194 226 388 452 661 776 904 1322 1552 1808 2609 2644 5218 5288 10436 10576 10961 20872 21922 41744 43844 64117 74693 87688 128234 149386 175376 253073 256468 294817 298772 506146 512936 589634 597544 1012292 1025872 1179268 1195088 1724549 2024584 2358536 3449098 4049168 4717072 6898196 7245221 13796392 14490442 27592784 28597249 28980884 57194498 57961768 114388996 115923536 167281253 194874037 228777992 334562506 389748074 457555984 669125012 779496148 1338250024 1558992296 2676500048 3117984592 18902781589 37805563178 75611126356 151222252712 302444505424