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353040144 = 24317774139
BaseRepresentation
bin10101000010101…
…111011100010000
3220121022022000220
4111002233130100
51210334241034
655010513040
711514535362
oct2502573420
9817268026
10353040144
11171311316
129a295780
13581abbc2
1434c5cd32
1520ed9749
hex150af710

353040144 has 40 divisors (see below), whose sum is σ = 912754080. Its totient is φ = 117585408.

The previous prime is 353040143. The next prime is 353040151. The reversal of 353040144 is 441040353.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (353040143) 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 7 ways as a sum of consecutive naturals, for example, 83227 + ... + 87365.

It is an arithmetic number, because the mean of its divisors is an integer number (22818852).

Almost surely, 2353040144 is an apocalyptic number.

It is an amenable number.

353040144 is an abundant number, since it is smaller than the sum of its proper divisors (559713936).

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

353040144 is a wasteful number, since it uses less digits than its factorization.

353040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 353040144 is about 18789.3625224487. The cubic root of 353040144 is about 706.7644510862.

Adding to 353040144 its reverse (441040353), we get a palindrome (794080497).

The spelling of 353040144 in words is "three hundred fifty-three million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1777 3554 4139 5331 7108 8278 10662 12417 14216 16556 21324 24834 28432 33112 42648 49668 66224 85296 99336 198672 7355003 14710006 22065009 29420012 44130018 58840024 88260036 117680048 176520072 353040144