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34320132440 = 235111719594093
BaseRepresentation
bin11111111101101000…
…111010100101011000
310021120211101100222022
4133331220322211120
51030241423214230
623433315314012
72323325212106
oct377550724530
9107524340868
1034320132440
1113611902520
1267998ab908
13330c413099
1419380d2c76
15d5d0381e5
hex7fda3a958

34320132440 has 256 divisors, whose sum is σ = 95504832000. Its totient is φ = 10936442880.

The previous prime is 34320132377. The next prime is 34320132449. The reversal of 34320132440 is 4423102343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320132449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8383034 + ... + 8387126.

It is an arithmetic number, because the mean of its divisors is an integer number (373065750).

Almost surely, 234320132440 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 34320132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752416000).

34320132440 is an abundant number, since it is smaller than the sum of its proper divisors (61184699560).

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

34320132440 is a wasteful number, since it uses less digits than its factorization.

34320132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34320132440 its reverse (4423102343), we get a palindrome (38743234783).

The spelling of 34320132440 in words is "thirty-four billion, three hundred twenty million, one hundred thirty-two thousand, four hundred forty".