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3400221344 = 251314095801
BaseRepresentation
bin1100101010101011…
…0100001010100000
322202222010010210212
43022222310022200
523430424040334
61321222313252
7150155255522
oct31252641240
98688103725
103400221344
111495377693
127aa888828
134225a27c0
14243827a12
1514d79cece
hexcaab42a0

3400221344 has 48 divisors (see below), whose sum is σ = 7215483240. Its totient is φ = 1567948800.

The previous prime is 3400221277. The next prime is 3400221371. The reversal of 3400221344 is 4431220043.

It can be written as a sum of positive squares in 4 ways, for example, as 2325168400 + 1075052944 = 48220^2 + 32788^2 .

It is an unprimeable number.

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, 583244 + ... + 589044.

Almost surely, 23400221344 is an apocalyptic number.

It is an amenable number.

3400221344 is an abundant number, since it is smaller than the sum of its proper divisors (3815261896).

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

3400221344 is a wasteful number, since it uses less digits than its factorization.

3400221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3400221344 is about 58311.4169267048. The cubic root of 3400221344 is about 1503.7272262593.

Adding to 3400221344 its reverse (4431220043), we get a palindrome (7831441387).

The spelling of 3400221344 in words is "three billion, four hundred million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1409 2818 5636 5801 11272 11602 18317 22544 23204 36634 45088 46408 73268 75413 92816 146536 150826 185632 293072 301652 586144 603304 1206608 2413216 8173609 16347218 32694436 65388872 106256917 130777744 212513834 261555488 425027668 850055336 1700110672 3400221344