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4340065224 = 23311233123057
BaseRepresentation
bin1000000101011000…
…00010001111001000
3102012110121011020110
410002230002033020
532342024041344
61554354354320
7212356642245
oct40254021710
912173534213
104340065224
111927943270
12a1158b9a0
13542209941
142d25965cc
151a604a3b9
hex102b023c8

4340065224 has 128 divisors (see below), whose sum is σ = 12750151680. Its totient is φ = 1217356800.

The previous prime is 4340065181. The next prime is 4340065273. The reversal of 4340065224 is 4225600434.

It is a super-2 number, since 2×43400652242 = 37672332297148340352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4340065191 and 4340065200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176704 + ... + 199760.

It is an arithmetic number, because the mean of its divisors is an integer number (99610560).

Almost surely, 24340065224 is an apocalyptic number.

4340065224 is a gapful number since it is divisible by the number (44) 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 4340065224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375075840).

4340065224 is an abundant number, since it is smaller than the sum of its proper divisors (8410086456).

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

4340065224 is a wasteful number, since it uses less digits than its factorization.

4340065224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131 (or 23127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4340065224 is about 65879.1713973392. The cubic root of 4340065224 is about 1631.1682222153.

Adding to 4340065224 its reverse (4225600434), we get a palindrome (8565665658).

The spelling of 4340065224 in words is "four billion, three hundred forty million, sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 31 33 44 46 62 66 69 88 92 93 124 132 138 184 186 248 253 264 276 341 372 506 552 682 713 744 759 1012 1023 1364 1426 1518 2024 2046 2139 2728 2852 3036 4092 4278 5704 6072 7843 8184 8556 15686 17112 23057 23529 31372 46114 47058 62744 69171 92228 94116 138342 184456 188232 253627 276684 507254 530311 553368 714767 760881 1014508 1060622 1429534 1521762 1590933 2029016 2121244 2144301 2859068 3043524 3181866 4242488 4288602 5718136 5833421 6087048 6363732 7862437 8577204 11666842 12727464 15724874 16439641 17154408 17500263 23333684 23587311 31449748 32879282 35000526 46667368 47174622 49318923 62899496 65758564 70001052 94349244 98637846 131517128 140002104 180836051 188698488 197275692 361672102 394551384 542508153 723344204 1085016306 1446688408 2170032612 4340065224