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4335444340 = 2252333727967
BaseRepresentation
bin1000000100110100…
…11010000101110100
3102012010220101120121
410002122122011310
532334333204330
61554111341324
7212302445263
oct40232320564
912163811517
104335444340
111925277557
12a0bb21844
1354127c5a6
142d1b125da
151a593617a
hex10269a174

4335444340 has 48 divisors (see below), whose sum is σ = 9528809472. Its totient is φ = 1653797376.

The previous prime is 4335444319. The next prime is 4335444343. The reversal of 4335444340 is 434445334.

It is a junction number, because it is equal to n+sod(n) for n = 4335444296 and 4335444305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335444343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141037 + ... + 169003.

It is an arithmetic number, because the mean of its divisors is an integer number (198516864).

Almost surely, 24335444340 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 4335444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764404736).

4335444340 is an abundant number, since it is smaller than the sum of its proper divisors (5193365132).

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

4335444340 is a wasteful number, since it uses less digits than its factorization.

4335444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336 (or 28334 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

The square root of 4335444340 is about 65844.0911547878. The cubic root of 4335444340 is about 1630.5891129639.

Adding to 4335444340 its reverse (434445334), we get a palindrome (4769889674).

The spelling of 4335444340 in words is "four billion, three hundred thirty-five million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 337 460 674 1348 1685 3370 6740 7751 15502 27967 31004 38755 55934 77510 111868 139835 155020 279670 559340 643241 1286482 2572964 3216205 6432410 9424879 12864820 18849758 37699516 47124395 94248790 188497580 216772217 433544434 867088868 1083861085 2167722170 4335444340