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734116032 = 263213177379
BaseRepresentation
bin101011110000011…
…011100011000000
31220011100221212200
4223300123203000
53000413203112
6200502353200
724122611656
oct5360334300
91804327780
10734116032
11347431271
12185a2b800
13b91259b0
146d6d8dd6
15446b0cdc
hex2bc1b8c0

734116032 has 336 divisors, whose sum is σ = 2463027840. Its totient is φ = 207028224.

The previous prime is 734116027. The next prime is 734116037. The reversal of 734116032 is 230611437.

It is an interprime number because it is at equal distance from previous prime (734116027) and next prime (734116037).

It is a junction number, because it is equal to n+sod(n) for n = 734115987 and 734116005.

It is not an unprimeable number, because it can be changed into a prime (734116037) 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 47 ways as a sum of consecutive naturals, for example, 9292569 + ... + 9292647.

It is an arithmetic number, because the mean of its divisors is an integer number (7330440).

Almost surely, 2734116032 is an apocalyptic number.

734116032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231513920).

734116032 is an abundant number, since it is smaller than the sum of its proper divisors (1728911808).

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

734116032 is a wasteful number, since it uses less digits than its factorization.

734116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 734116032 is about 27094.5756933007. The cubic root of 734116032 is about 902.1004570164.

Adding to 734116032 its reverse (230611437), we get a palindrome (964727469).

The spelling of 734116032 in words is "seven hundred thirty-four million, one hundred sixteen thousand, thirty-two".