Base | Representation |
---|---|
bin | 101100001000110… |
… | …110001111100000 |
3 | 1220121102011010100 |
4 | 230020312033200 |
5 | 3004033014312 |
6 | 201251502400 |
7 | 24231201126 |
oct | 5410661740 |
9 | 1817364110 |
10 | 740516832 |
11 | 350003290 |
12 | 187bb7a00 |
13 | ba557253 |
14 | 704c3916 |
15 | 450275dc |
hex | 2c2363e0 |
740516832 has 144 divisors (see below), whose sum is σ = 2397403008. Its totient is φ = 214621440.
The previous prime is 740516797. The next prime is 740516851. The reversal of 740516832 is 238615047.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 67783 + ... + 77945.
It is an arithmetic number, because the mean of its divisors is an integer number (16648632).
Almost surely, 2740516832 is an apocalyptic number.
740516832 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 740516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198701504).
740516832 is an abundant number, since it is smaller than the sum of its proper divisors (1656886176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
740516832 is a wasteful number, since it uses less digits than its factorization.
740516832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10213 (or 10202 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 740516832 is about 27212.4389204643. The cubic root of 740516832 is about 904.7146957363.
The spelling of 740516832 in words is "seven hundred forty million, five hundred sixteen thousand, eight hundred thirty-two".
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