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4350315114 = 234298291117
BaseRepresentation
bin1000000110100110…
…01000101001101010
3102020011212220110000
410003103020221222
532402140040424
61555402203430
7212543032305
oct40323105152
912204786400
104350315114
111932704152
12a14ab3576
13544388172
142d3aa3b3c
151a6dc23c9
hex1034c8a6a

4350315114 has 80 divisors (see below), whose sum is σ = 10105266600. Its totient is φ = 1397160576.

The previous prime is 4350315103. The next prime is 4350315131. The reversal of 4350315114 is 4115130534.

It is a happy number.

4350315114 is a `hidden beast` number, since 4 + 3 + 503 + 151 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2843555625 + 1506759489 = 53325^2 + 38817^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3894084 + ... + 3895200.

Almost surely, 24350315114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4350315114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052633300).

4350315114 is an abundant number, since it is smaller than the sum of its proper divisors (5754951486).

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

4350315114 is a wasteful number, since it uses less digits than its factorization.

4350315114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4350315114 is about 65956.9186211727. The cubic root of 4350315114 is about 1632.4513173838.

Adding to 4350315114 its reverse (4115130534), we get a palindrome (8465445648).

The spelling of 4350315114 in words is "four billion, three hundred fifty million, three hundred fifteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 829 1117 1566 1658 2234 2349 2487 3351 4698 4974 6702 7461 10053 14922 20106 22383 24041 30159 32393 44766 48082 60318 64786 67149 72123 90477 97179 134298 144246 180954 194358 216369 291537 432738 583074 649107 874611 925993 1298214 1749222 1851986 1947321 2623833 2777979 3894642 5247666 5555958 8333937 16667874 25001811 26853797 50003622 53707594 75005433 80561391 150010866 161122782 241684173 483368346 725052519 1450105038 2175157557 4350315114