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2434332132 = 2232173390869
BaseRepresentation
bin1001000100011000…
…1111010111100100
320021122121212220100
42101012033113210
514441142112012
61041320104100
7114216324141
oct22106172744
96248555810
102434332132
11103a131841
1257b305030
132ca44971b
141914393c8
15e3aa88dc
hex9118f5e4

2434332132 has 36 divisors (see below), whose sum is σ = 6189035580. Its totient is φ = 806751552.

The previous prime is 2434332107. The next prime is 2434332137. The reversal of 2434332132 is 2312334342.

It can be written as a sum of positive squares in 2 ways, for example, as 2110116096 + 324216036 = 45936^2 + 18006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2434332096 and 2434332105.

It is not an unprimeable number, because it can be changed into a prime (2434332137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189207 + ... + 201662.

It is an arithmetic number, because the mean of its divisors is an integer number (171917655).

Almost surely, 22434332132 is an apocalyptic number.

It is an amenable number.

2434332132 is an abundant number, since it is smaller than the sum of its proper divisors (3754703448).

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

2434332132 is a wasteful number, since it uses less digits than its factorization.

2434332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391052 (or 391047 counting only the distinct ones).

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

The square root of 2434332132 is about 49338.9514683885. The cubic root of 2434332132 is about 1345.2198812263.

Adding to 2434332132 its reverse (2312334342), we get a palindrome (4746666474).

The spelling of 2434332132 in words is "two billion, four hundred thirty-four million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 390869 781738 1172607 1563476 2345214 3517821 4690428 7035642 14071284 67620337 135240674 202861011 270481348 405722022 608583033 811444044 1217166066 2434332132