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431414312 = 23723214563
BaseRepresentation
bin11001101101101…
…101110000101000
31010001210010011212
4121231231300220
51340420224222
6110450412252
713455650450
oct3155556050
91101703155
10431414312
11201581a5a
12100591088
136b4c0254
1441420d60
1527d1b6e2
hex19b6dc28

431414312 has 48 divisors (see below), whose sum is σ = 966467040. Its totient is φ = 176840928.

The previous prime is 431414303. The next prime is 431414351. The reversal of 431414312 is 213414134.

It is a super-2 number, since 2×4314143122 = 372236617196866688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22343 + ... + 36905.

It is an arithmetic number, because the mean of its divisors is an integer number (20134730).

Almost surely, 2431414312 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 431414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483233520).

431414312 is an abundant number, since it is smaller than the sum of its proper divisors (535052728).

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

431414312 is a wasteful number, since it uses less digits than its factorization.

431414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14622 (or 14595 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 431414312 is about 20770.5154485872. The cubic root of 431414312 is about 755.6108455054.

Adding to 431414312 its reverse (213414134), we get a palindrome (644828446).

The spelling of 431414312 in words is "four hundred thirty-one million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 529 644 1058 1288 2116 3703 4232 7406 14563 14812 29126 29624 58252 101941 116504 203882 334949 407764 669898 815528 1339796 2344643 2679592 4689286 7703827 9378572 15407654 18757144 30815308 53926789 61630616 107853578 215707156 431414312