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4314010432 = 26434733353
BaseRepresentation
bin1000000010010001…
…01001001101000000
3102010122120102210011
410001020221031000
532313341313212
61552024114304
7211622324614
oct40110511500
912118512704
104314010432
111914167986
12a04905994
135399b65c4
142ccd33344
151a3b004a7
hex101229340

4314010432 has 56 divisors (see below), whose sum is σ = 8946343296. Its totient is φ = 2061954048.

The previous prime is 4314010429. The next prime is 4314010451. The reversal of 4314010432 is 2340104134.

It is a super-2 number, since 2×43140104322 = 37221372014809653248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112668 + ... + 146020.

Almost surely, 24314010432 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 4314010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473171648).

4314010432 is an abundant number, since it is smaller than the sum of its proper divisors (4632332864).

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

4314010432 is a wasteful number, since it uses less digits than its factorization.

4314010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33455 (or 33445 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4314010432 is about 65681.1269087247. The cubic root of 4314010432 is about 1627.8975278949.

Adding to 4314010432 its reverse (2340104134), we get a palindrome (6654114566).

The spelling of 4314010432 in words is "four billion, three hundred fourteen million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 172 188 344 376 688 752 1376 1504 2021 2752 3008 4042 8084 16168 32336 33353 64672 66706 129344 133412 266824 533648 1067296 1434179 1567591 2134592 2868358 3135182 5736716 6270364 11473432 12540728 22946864 25081456 45893728 50162912 67406413 91787456 100325824 134812826 269625652 539251304 1078502608 2157005216 4314010432