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434940324 = 2237131920963
BaseRepresentation
bin11001111011001…
…010100110100100
31010022102020221220
4121323022212210
51342321042244
6111054140340
713530634410
oct3173124644
91108366856
10434940324
11203570115
121017b16b0
136c156150
1441a9bd40
15282b6319
hex19eca9a4

434940324 has 96 divisors (see below), whose sum is σ = 1314862080. Its totient is φ = 108667008.

The previous prime is 434940307. The next prime is 434940353. The reversal of 434940324 is 423049434.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10267 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (13696480).

Almost surely, 2434940324 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 434940324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657431040).

434940324 is an abundant number, since it is smaller than the sum of its proper divisors (879921756).

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

434940324 is a wasteful number, since it uses less digits than its factorization.

434940324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21009 (or 21007 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 434940324 is about 20855.2229429465. Note that the first 3 decimals coincide. The cubic root of 434940324 is about 757.6638349892.

Adding to 434940324 its reverse (423049434), we get a palindrome (857989758).

The spelling of 434940324 in words is "four hundred thirty-four million, nine hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 5187 6916 10374 20748 20963 41926 62889 83852 125778 146741 251556 272519 293482 398297 440223 545038 586964 796594 817557 880446 1090076 1194891 1593188 1635114 1760892 1907633 2389782 2788079 3270228 3815266 4779564 5177861 5576158 5722899 7630532 8364237 10355722 11152316 11445798 15533583 16728474 20711444 22891596 31067166 33456948 36245027 62134332 72490054 108735081 144980108 217470162 434940324