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4314427360 = 255431314787
BaseRepresentation
bin1000000010010100…
…01110111111100000
3102010200100121200221
410001022032333200
532313443133420
61552041052424
7211626012265
oct40112167740
912120317627
104314427360
111914422151
12a04a87114
13539b012c9
142cd00126c
151a3b83caa
hex10128efe0

4314427360 has 96 divisors (see below), whose sum is σ = 10511690112. Its totient is φ = 1672419840.

The previous prime is 4314427319. The next prime is 4314427379. The reversal of 4314427360 is 637244134.

It is a super-2 number, since 2×43144273602 = 37228566889433139200, 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 15 ways as a sum of consecutive naturals, for example, 898887 + ... + 903673.

It is an arithmetic number, because the mean of its divisors is an integer number (109496772).

Almost surely, 24314427360 is an apocalyptic number.

4314427360 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 4314427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255845056).

4314427360 is an abundant number, since it is smaller than the sum of its proper divisors (6197262752).

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

4314427360 is a wasteful number, since it uses less digits than its factorization.

4314427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 4314427360 is about 65684.3007118139. The cubic root of 4314427360 is about 1627.9499689825.

The spelling of 4314427360 in words is "four billion, three hundred fourteen million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 131 160 172 215 262 344 430 524 655 688 860 1048 1310 1376 1720 2096 2620 3440 4192 4787 5240 5633 6880 9574 10480 11266 19148 20960 22532 23935 28165 38296 45064 47870 56330 76592 90128 95740 112660 153184 180256 191480 205841 225320 382960 411682 450640 627097 765920 823364 901280 1029205 1254194 1646728 2058410 2508388 3135485 3293456 4116820 5016776 6270970 6586912 8233640 10033552 12541940 16467280 20067104 25083880 26965171 32934560 50167760 53930342 100335520 107860684 134825855 215721368 269651710 431442736 539303420 862885472 1078606840 2157213680 4314427360