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430144104 = 233133374091
BaseRepresentation
bin11001101000110…
…111101001101000
31002222101120210010
4121220313221220
51340104102404
6110403251520
713442110305
oct3150675150
91088346703
10430144104
112008946a5
12100079ba0
136b167050
14411b00ac
1527b6a189
hex19a37a68

430144104 has 64 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 131927040.

The previous prime is 430144103. The next prime is 430144111. The reversal of 430144104 is 401441034.

It is not an unprimeable number, because it can be changed into a prime (430144103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103099 + ... + 107189.

It is an arithmetic number, because the mean of its divisors is an integer number (18153135).

Almost surely, 2430144104 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 430144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

430144104 is an abundant number, since it is smaller than the sum of its proper divisors (731656536).

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

430144104 is a wasteful number, since it uses less digits than its factorization.

430144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 430144104 is about 20739.9157182473. The cubic root of 430144104 is about 754.8685378465.

Adding to 430144104 its reverse (401441034), we get a palindrome (831585138).

The spelling of 430144104 in words is "four hundred thirty million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 337 674 1011 1348 2022 2696 4044 4091 4381 8088 8182 8762 12273 13143 16364 17524 24546 26286 32728 35048 49092 52572 53183 98184 105144 106366 159549 212732 319098 425464 638196 1276392 1378667 2757334 4136001 5514668 8272002 11029336 16544004 17922671 33088008 35845342 53768013 71690684 107536026 143381368 215072052 430144104