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4301434140 = 2235317013299
BaseRepresentation
bin1000000000110001…
…01010110100011100
3102002202220111100120
410000120222310130
532302131343030
61550454354540
7211410405213
oct40030526434
912082814316
104301434140
111908058153
12a0065ba50
13537202203
142cb3bc07a
151a2969010
hex10062ad1c

4301434140 has 96 divisors (see below), whose sum is σ = 12454041600. Its totient is φ = 1108128000.

The previous prime is 4301434139. The next prime is 4301434141. The reversal of 4301434140 is 414341034.

It is an interprime number because it is at equal distance from previous prime (4301434139) and next prime (4301434141).

It is a self number, because there is not a number n which added to its sum of digits gives 4301434140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4301434141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302211 + ... + 1305509.

It is an arithmetic number, because the mean of its divisors is an integer number (129729600).

Almost surely, 24301434140 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 4301434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227020800).

4301434140 is an abundant number, since it is smaller than the sum of its proper divisors (8152607460).

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

4301434140 is a wasteful number, since it uses less digits than its factorization.

4301434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4301434140 is about 65585.3195463741. The cubic root of 4301434140 is about 1626.3140947517.

Adding to 4301434140 its reverse (414341034), we get a palindrome (4715775174).

The spelling of 4301434140 in words is "four billion, three hundred one million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 701 930 1402 1860 2103 2804 3299 3505 4206 6598 7010 8412 9897 10515 13196 14020 16495 19794 21030 21731 32990 39588 42060 43462 49485 65193 65980 86924 98970 102269 108655 130386 197940 204538 217310 260772 306807 325965 409076 434620 511345 613614 651930 1022690 1227228 1303860 1534035 2045380 2312599 3068070 4625198 6136140 6937797 9250396 11562995 13875594 23125990 27751188 34688985 46251980 69377970 71690569 138755940 143381138 215071707 286762276 358452845 430143414 716905690 860286828 1075358535 1433811380 2150717070 4301434140