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742834760 = 23519019769
BaseRepresentation
bin101100010001101…
…100001001001000
31220202202220201112
4230101230021020
53010131203020
6201413305452
724256664003
oct5421541110
91822686645
10742834760
11351346828
12188935288
13bab892c5
147092853a
15453342c5
hex2c46c248

742834760 has 32 divisors (see below), whose sum is σ = 1672428600. Its totient is φ = 296947200.

The previous prime is 742834733. The next prime is 742834793. The reversal of 742834760 is 67438247.

742834760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 368102596 + 374732164 = 19186^2 + 19358^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71156 + ... + 80924.

Almost surely, 2742834760 is an apocalyptic number.

It is an amenable number.

742834760 is an abundant number, since it is smaller than the sum of its proper divisors (929593840).

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

742834760 is a wasteful number, since it uses less digits than its factorization.

742834760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 742834760 is about 27254.9951385063. The cubic root of 742834760 is about 905.6576764543.

The spelling of 742834760 in words is "seven hundred forty-two million, eight hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1901 3802 7604 9505 9769 15208 19010 19538 38020 39076 48845 76040 78152 97690 195380 390760 18570869 37141738 74283476 92854345 148566952 185708690 371417380 742834760