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20430434352 = 24317671133307
BaseRepresentation
bin10011000001101111…
…111011000000110000
31221201211110121011210
4103001233323000300
5313320142344402
613215143040120
71322166553356
oct230157730060
957654417153
1020430434352
1187344a1799
123b62140040
131c07913b13
14dbb52d7d6
157e894206c
hex4c1bfb030

20430434352 has 160 divisors (see below), whose sum is σ = 57236550912. Its totient is φ = 6256115712.

The previous prime is 20430434303. The next prime is 20430434359. The reversal of 20430434352 is 25343403402.

It is a super-2 number, since 2×204304343522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20430434359) 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, 6176283 + ... + 6179589.

Almost surely, 220430434352 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 20430434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28618275456).

20430434352 is an abundant number, since it is smaller than the sum of its proper divisors (36806116560).

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

20430434352 is a wasteful number, since it uses less digits than its factorization.

20430434352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 20430434352 its reverse (25343403402), we get a palindrome (45773837754).

The spelling of 20430434352 in words is "twenty billion, four hundred thirty million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 113 134 136 201 204 226 268 272 339 402 408 452 536 678 804 816 904 1072 1139 1356 1608 1808 1921 2278 2712 3216 3307 3417 3842 4556 5424 5763 6614 6834 7571 7684 9112 9921 11526 13228 13668 15142 15368 18224 19842 22713 23052 26456 27336 30284 30736 39684 45426 46104 52912 54672 56219 60568 79368 90852 92208 112438 121136 128707 158736 168657 181704 221569 224876 257414 337314 363408 373691 386121 443138 449752 514828 664707 674628 747382 772242 886276 899504 1029656 1121073 1329414 1349256 1494764 1544484 1772552 2059312 2242146 2658828 2698512 2989528 3088968 3545104 3766673 4484292 5317656 5979056 6177936 6352747 7533346 8968584 10635312 11300019 12705494 15066692 17937168 19058241 22600038 25037297 25410988 30133384 38116482 45200076 50074594 50821976 60266768 75111891 76232964 90400152 100149188 101643952 150223782 152465928 180800304 200298376 300447564 304931856 400596752 425634049 600895128 851268098 1201790256 1276902147 1702536196 2553804294 3405072392 5107608588 6810144784 10215217176 20430434352