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4123434330 = 233558726017
BaseRepresentation
bin1111010111000110…
…1001110101011010
3101122100222011112000
43311301221311122
531421044344310
61521055301430
7204116420301
oct36561516532
911570864460
104123434330
111826631274
12970b1a876
1350937b892
142b18c5438
151920084c0
hexf5c69d5a

4123434330 has 64 divisors (see below), whose sum is σ = 11014980480. Its totient is φ = 1097667072.

The previous prime is 4123434239. The next prime is 4123434331. The reversal of 4123434330 is 334343214.

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

It is a junction number, because it is equal to n+sod(n) for n = 4123434294 and 4123434303.

It is not an unprimeable number, because it can be changed into a prime (4123434331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145482 + ... + 171498.

It is an arithmetic number, because the mean of its divisors is an integer number (172109070).

Almost surely, 24123434330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507490240).

4123434330 is an abundant number, since it is smaller than the sum of its proper divisors (6891546150).

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

4123434330 is a wasteful number, since it uses less digits than its factorization.

4123434330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26620 (or 26614 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4123434330 is about 64213.9730121101. The cubic root of 4123434330 is about 1603.5642326432.

Adding to 4123434330 its reverse (334343214), we get a palindrome (4457777544).

The spelling of 4123434330 in words is "four billion, one hundred twenty-three million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 587 1174 1761 2935 3522 5283 5870 8805 10566 15849 17610 26017 26415 31698 52034 52830 78051 79245 130085 156102 158490 234153 260170 390255 468306 702459 780510 1170765 1404918 2341530 3512295 7024590 15271979 30543958 45815937 76359895 91631874 137447811 152719790 229079685 274895622 412343433 458159370 687239055 824686866 1374478110 2061717165 4123434330