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4134432344 = 237238936067
BaseRepresentation
bin1111011001101110…
…0110111001011000
3101200010122220221212
43312123212321120
531431403313334
61522131122252
7204312044420
oct36633467130
911603586855
104134432344
111831863239
12974743388
1350b72c793
142b3149480
15192e7bece
hexf66e6e58

4134432344 has 64 divisors (see below), whose sum is σ = 9348825600. Its totient is φ = 1675770624.

The previous prime is 4134432343. The next prime is 4134432347. The reversal of 4134432344 is 4432344314.

It is a super-2 number, since 2×41344323442 = 34187061614226668672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4134432344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134432343) 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 15 ways as a sum of consecutive naturals, for example, 96599 + ... + 132665.

It is an arithmetic number, because the mean of its divisors is an integer number (146075400).

Almost surely, 24134432344 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 4134432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674412800).

4134432344 is an abundant number, since it is smaller than the sum of its proper divisors (5214393256).

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

4134432344 is a wasteful number, since it uses less digits than its factorization.

4134432344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36192 (or 36188 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

The square root of 4134432344 is about 64299.5516625116. The cubic root of 4134432344 is about 1604.9886412048.

Adding to 4134432344 its reverse (4432344314), we get a palindrome (8566776658).

The spelling of 4134432344 in words is "four billion, one hundred thirty-four million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 89 92 161 178 184 322 356 623 644 712 1246 1288 2047 2492 4094 4984 8188 14329 16376 28658 36067 57316 72134 114632 144268 252469 288536 504938 829541 1009876 1659082 2019752 3209963 3318164 5806787 6419926 6636328 11613574 12839852 22469741 23227148 25679704 44939482 46454296 73829149 89878964 147658298 179757928 295316596 516804043 590633192 1033608086 2067216172 4134432344