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431104344 = 233113494679
BaseRepresentation
bin11001101100100…
…010000101011000
31010001012100222120
4121230202011120
51340330314334
6110440021240
713453216656
oct3154420530
91101170876
10431104344
11201390090
12100461820
136b412138
144137ddd6
1527ca9949
hex19b22158

431104344 has 64 divisors (see below), whose sum is σ = 1179360000. Its totient is φ = 130235520.

The previous prime is 431104313. The next prime is 431104367. The reversal of 431104344 is 443401134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89797 + ... + 94475.

It is an arithmetic number, because the mean of its divisors is an integer number (18427500).

Almost surely, 2431104344 is an apocalyptic number.

431104344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680000).

431104344 is an abundant number, since it is smaller than the sum of its proper divisors (748255656).

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

431104344 is a wasteful number, since it uses less digits than its factorization.

431104344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 431104344 is about 20763.0523767581. The cubic root of 431104344 is about 755.4298352078.

Adding to 431104344 its reverse (443401134), we get a palindrome (874505478).

The spelling of 431104344 in words is "four hundred thirty-one million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 349 698 1047 1396 2094 2792 3839 4188 4679 7678 8376 9358 11517 14037 15356 18716 23034 28074 30712 37432 46068 51469 56148 92136 102938 112296 154407 205876 308814 411752 617628 1235256 1632971 3265942 4898913 6531884 9797826 13063768 17962681 19595652 35925362 39191304 53888043 71850724 107776086 143701448 215552172 431104344