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1240434330 = 235439531009
BaseRepresentation
bin100100111101111…
…1000011010011010
310012110002121000020
41021323320122122
510020022344310
6323030451310
742511342422
oct11173703232
93173077006
101240434330
11587213743
122a7503b36
13169cb0915
14baa57482
1573d76170
hex49ef869a

1240434330 has 64 divisors (see below), whose sum is σ = 3052494720. Its totient is φ = 322430976.

The previous prime is 1240434319. The next prime is 1240434331. The reversal of 1240434330 is 334340421.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1240434330.

It is not an unprimeable number, because it can be changed into a prime (1240434331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228866 + ... + 1229874.

It is an arithmetic number, because the mean of its divisors is an integer number (47695230).

Almost surely, 21240434330 is an apocalyptic number.

1240434330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526247360).

1240434330 is an abundant number, since it is smaller than the sum of its proper divisors (1812060390).

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

1240434330 is a wasteful number, since it uses less digits than its factorization.

1240434330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1240434330 is about 35219.8002549702. The cubic root of 1240434330 is about 1074.4624909757.

Adding to 1240434330 its reverse (334340421), we get a palindrome (1574774751).

The spelling of 1240434330 in words is "one billion, two hundred forty million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 953 1009 1290 1906 2018 2859 3027 4765 5045 5718 6054 9530 10090 14295 15135 28590 30270 40979 43387 81958 86774 122937 130161 204895 216935 245874 260322 409790 433870 614685 650805 961577 1229370 1301610 1923154 2884731 4807885 5769462 9615770 14423655 28847310 41347811 82695622 124043433 206739055 248086866 413478110 620217165 1240434330