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4314341424 = 2433113122133
BaseRepresentation
bin1000000010010011…
…11010000000110000
3102010200012020211010
410001021322000300
532313432411144
61552035150520
7211625203611
oct40111720060
912120166733
104314341424
111914373628
12a04a45440
13539aa1163
142ccdbbc08
151a3b685b9
hex10127a030

4314341424 has 80 divisors (see below), whose sum is σ = 11593257984. Its totient is φ = 1381036800.

The previous prime is 4314341387. The next prime is 4314341441. The reversal of 4314341424 is 4241434134.

It is a super-2 number, since 2×43143414242 = 37227083845684695552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4314341391 and 4314341400.

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, 183862 + ... + 205994.

Almost surely, 24314341424 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 4314341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796628992).

4314341424 is an abundant number, since it is smaller than the sum of its proper divisors (7278916560).

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

4314341424 is a wasteful number, since it uses less digits than its factorization.

4314341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22306 (or 22300 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4314341424 is about 65683.6465491982. The cubic root of 4314341424 is about 1627.9391602528.

Adding to 4314341424 its reverse (4241434134), we get a palindrome (8555775558).

The spelling of 4314341424 in words is "four billion, three hundred fourteen million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 372 393 496 524 744 786 1048 1488 1572 2096 3144 4061 6288 8122 12183 16244 22133 24366 32488 44266 48732 64976 66399 88532 97464 132798 177064 194928 265596 354128 531192 686123 1062384 1372246 2058369 2744492 2899423 4116738 5488984 5798846 8233476 8698269 10977968 11597692 16466952 17396538 23195384 32933904 34793076 46390768 69586152 89882113 139172304 179764226 269646339 359528452 539292678 719056904 1078585356 1438113808 2157170712 4314341424