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331430144 = 281294649
BaseRepresentation
bin10011110000010…
…011100100000000
3212002122101200112
4103300103210000
51134321231034
652515410452
711133052433
oct2360234400
9762571615
10331430144
111600a1411
1292bb3a28
1353883a16
143203581a
151e16b7ce
hex13c13900

331430144 has 18 divisors (see below), whose sum is σ = 661566150. Its totient is φ = 165714944.

The previous prime is 331430123. The next prime is 331430153. The reversal of 331430144 is 441034133.

It can be written as a sum of positive squares in only one way, i.e., 328044544 + 3385600 = 18112^2 + 1840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 647069 + ... + 647580.

It is an arithmetic number, because the mean of its divisors is an integer number (36753675).

Almost surely, 2331430144 is an apocalyptic number.

It is an amenable number.

331430144 is a deficient number, since it is larger than the sum of its proper divisors (330136006).

331430144 is an equidigital number, since it uses as much as digits as its factorization.

331430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294665 (or 1294651 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 331430144 is about 18205.2229868244. Note that the first 3 decimals coincide. The cubic root of 331430144 is about 692.0391571280.

Adding to 331430144 its reverse (441034133), we get a palindrome (772464277).

The spelling of 331430144 in words is "three hundred thirty-one million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 1294649 2589298 5178596 10357192 20714384 41428768 82857536 165715072 331430144