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4431303234 = 2331923792377
BaseRepresentation
bin1000010000010000…
…00101001001000010
3102102211021112021000
410020020011021002
533033403200414
62011414112430
7214545312261
oct41010051102
912384245230
104431303234
11197439a786
12a3804b716
135580a3227
143007465d8
151ae06db09
hex108205242

4431303234 has 128 divisors (see below), whose sum is σ = 10957824000. Its totient is φ = 1321017984.

The previous prime is 4431303197. The next prime is 4431303259. The reversal of 4431303234 is 4323031344.

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

It is a junction number, because it is equal to n+sod(n) for n = 4431303198 and 4431303207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1863054 + ... + 1865430.

It is an arithmetic number, because the mean of its divisors is an integer number (85608000).

Almost surely, 24431303234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431303234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478912000).

4431303234 is an abundant number, since it is smaller than the sum of its proper divisors (6526520766).

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

4431303234 is a wasteful number, since it uses less digits than its factorization.

4431303234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4431303234 is about 66568.0346262378. The cubic root of 4431303234 is about 1642.5193325637.

Adding to 4431303234 its reverse (4323031344), we get a palindrome (8754334578).

The spelling of 4431303234 in words is "four billion, four hundred thirty-one million, three hundred three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 79 114 138 158 171 207 237 342 414 437 474 513 621 711 874 1026 1242 1311 1422 1501 1817 2133 2377 2622 3002 3634 3933 4266 4503 4754 5451 7131 7866 9006 10902 11799 13509 14262 16353 21393 23598 27018 32706 34523 40527 42786 45163 49059 54671 64179 69046 81054 90326 98118 103569 109342 128358 135489 164013 187783 207138 270978 310707 328026 375566 406467 492039 563349 621414 812934 932121 984078 1038749 1126698 1219401 1476117 1690047 1864242 2077498 2438802 2952234 3116247 3380094 3567877 4319009 5070141 6232494 7135754 8638018 9348741 10140282 10703631 12957027 18697482 21407262 25914054 28046223 32110893 38871081 56092446 64221786 77742162 82061171 96332679 116613243 164122342 192665358 233226486 246183513 492367026 738550539 1477101078 2215651617 4431303234