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4334090832 = 2432291037857
BaseRepresentation
bin1000000100101010…
…01111101001010000
3102012001100121220200
410002111033221100
532334011401312
61554022335200
7212255110221
oct40225175120
912161317820
104334090832
111924532655
12a0b58a500
13540bc74b6
142d187d248
151a576a0dc
hex10254fa50

4334090832 has 60 divisors (see below), whose sum is σ = 12547703220. Its totient is φ = 1394878464.

The previous prime is 4334090821. The next prime is 4334090833. The reversal of 4334090832 is 2380904334.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1911088656 + 2423002176 = 43716^2 + 49224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334090833) 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 11 ways as a sum of consecutive naturals, for example, 514753 + ... + 523104.

It is an arithmetic number, because the mean of its divisors is an integer number (209128387).

Almost surely, 24334090832 is an apocalyptic number.

It is an amenable number.

4334090832 is an abundant number, since it is smaller than the sum of its proper divisors (8213612388).

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

4334090832 is a wasteful number, since it uses less digits than its factorization.

4334090832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037900 (or 1037891 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4334090832 is about 65833.8122244185. The cubic root of 4334090832 is about 1630.4194075504.

The spelling of 4334090832 in words is "four billion, three hundred thirty-four million, ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 1037857 2075714 3113571 4151428 6227142 8302856 9340713 12454284 16605712 18681426 24908568 30097853 37362852 49817136 60195706 74725704 90293559 120391412 149451408 180587118 240782824 270880677 361174236 481565648 541761354 722348472 1083522708 1444696944 2167045416 4334090832