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4314340224 = 27323745087
BaseRepresentation
bin1000000010010011…
…11001101110000000
3102010200012012011200
410001021321232000
532313432341344
61552035141200
7211625200245
oct40111715600
912120165150
104314340224
111914372737
12a04a44800
13539aa074c
142ccdbb5cc
151a3b68069
hex101279b80

4314340224 has 48 divisors (see below), whose sum is σ = 12414966720. Its totient is φ = 1438113024.

The previous prime is 4314340211. The next prime is 4314340273. The reversal of 4314340224 is 4220434134.

It is a happy number.

4314340224 is a `hidden beast` number, since 4 + 3 + 1 + 434 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×43143402242 = 37227063136848740352, 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 5 ways as a sum of consecutive naturals, for example, 1871392 + ... + 1873695.

It is an arithmetic number, because the mean of its divisors is an integer number (258645140).

Almost surely, 24314340224 is an apocalyptic number.

It is an amenable number.

4314340224 is an abundant number, since it is smaller than the sum of its proper divisors (8100626496).

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

4314340224 is a wasteful number, since it uses less digits than its factorization.

4314340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745107 (or 3745092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4314340224 is about 65683.6374145038. The cubic root of 4314340224 is about 1627.9390093200.

Adding to 4314340224 its reverse (4220434134), we get a palindrome (8534774358).

The spelling of 4314340224 in words is "four billion, three hundred fourteen million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3745087 7490174 11235261 14980348 22470522 29960696 33705783 44941044 59921392 67411566 89882088 119842784 134823132 179764176 239685568 269646264 359528352 479371136 539292528 719056704 1078585056 1438113408 2157170112 4314340224