Search a number
-
+
431430104 = 23722833889
BaseRepresentation
bin11001101101110…
…001100111011000
31010001210220211202
4121231301213120
51340421230404
6110451013332
713456044500
oct3155614730
91101726752
10431430104
11201592906
1210059a248
136b4c74b1
1441426a00
1527d2121e
hex19b719d8

431430104 has 48 divisors (see below), whose sum is σ = 944569800. Its totient is φ = 184197888.

The previous prime is 431430091. The next prime is 431430107. The reversal of 431430104 is 401034134.

It is a happy number.

It is a super-2 number, since 2×4314301042 = 372263869274901632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431430107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108992 + ... + 112880.

Almost surely, 2431430104 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 431430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472284900).

431430104 is an abundant number, since it is smaller than the sum of its proper divisors (513139696).

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

431430104 is a wasteful number, since it uses less digits than its factorization.

431430104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 431430104 is about 20770.8955993717. The cubic root of 431430104 is about 755.6200651507.

Adding to 431430104 its reverse (401034134), we get a palindrome (832464238).

The spelling of 431430104 in words is "four hundred thirty-one million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 283 392 566 1132 1981 2264 3889 3962 7778 7924 13867 15556 15848 27223 27734 31112 54446 55468 108892 110936 190561 217784 381122 762244 1100587 1524488 2201174 4402348 7704109 8804696 15408218 30816436 53928763 61632872 107857526 215715052 431430104