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240140032 = 2811531609
BaseRepresentation
bin11100101000000…
…11111100000000
3121201212101012021
432110003330000
5442433440112
635455011224
75644104466
oct1624037400
9551771167
10240140032
11113609840
1268509b14
133a99c7c2
1423c70836
1516137907
hexe503f00

240140032 has 72 divisors (see below), whose sum is σ = 533116080. Its totient is φ = 107028480.

The previous prime is 240140009. The next prime is 240140051. The reversal of 240140032 is 230041042.

It is a super-2 number, since 2×2401400322 = 115334469937922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 240139988 and 240140015.

It is a congruent number.

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, 148444 + ... + 150052.

It is an arithmetic number, because the mean of its divisors is an integer number (7404390).

Almost surely, 2240140032 is an apocalyptic number.

240140032 is a gapful number since it is divisible by the number (22) 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 240140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266558040).

240140032 is an abundant number, since it is smaller than the sum of its proper divisors (292976048).

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

240140032 is a wasteful number, since it uses less digits than its factorization.

240140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 240140032 is about 15496.4522391417. The cubic root of 240140032 is about 621.5673421311.

Adding to 240140032 its reverse (230041042), we get a palindrome (470181074).

The spelling of 240140032 in words is "two hundred forty million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 1166 1408 1609 1696 2332 2816 3218 3392 4664 6436 6784 9328 12872 13568 17699 18656 25744 35398 37312 51488 70796 74624 85277 102976 141592 149248 170554 205952 283184 341108 411904 566368 682216 938047 1132736 1364432 1876094 2265472 2728864 3752188 4530944 5457728 7504376 10915456 15008752 21830912 30017504 60035008 120070016 240140032