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4314320200 = 235233165171
BaseRepresentation
bin1000000010010011…
…10100110101001000
3102010200011011201001
410001021310311020
532313431221300
61552034504344
7211625055001
oct40111646510
912120134631
104314320200
111914359693
12a04a350b4
13539a945b8
142ccdb41a8
151a3b6216a
hex101274d48

4314320200 has 48 divisors (see below), whose sum is σ = 10061253360. Its totient is φ = 1720488000.

The previous prime is 4314320173. The next prime is 4314320261. The reversal of 4314320200 is 20234134.

It is a super-2 number, since 2×43143202002 = 37226717576256080000, which contains 22 as substring.

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, 33615 + ... + 98785.

It is an arithmetic number, because the mean of its divisors is an integer number (209609445).

Almost surely, 24314320200 is an apocalyptic number.

4314320200 is a gapful number since it is divisible by the number (40) 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 4314320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030626680).

4314320200 is an abundant number, since it is smaller than the sum of its proper divisors (5746933160).

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

4314320200 is a wasteful number, since it uses less digits than its factorization.

4314320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65518 (or 65509 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4314320200 is about 65683.4849867149. The cubic root of 4314320200 is about 1627.9364907501.

Adding to 4314320200 its reverse (20234134), we get a palindrome (4334554334).

The spelling of 4314320200 in words is "four billion, three hundred fourteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 662 1324 1655 2648 3310 6620 8275 13240 16550 33100 65171 66200 130342 260684 325855 521368 651710 1303420 1629275 2606840 3258550 6517100 13034200 21571601 43143202 86286404 107858005 172572808 215716010 431432020 539290025 862864040 1078580050 2157160100 4314320200