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3344041120 = 25572985751
BaseRepresentation
bin1100011101010010…
…0000010010100000
322122001101220000211
43013110200102200
523322033303440
61311454223504
7145603611010
oct30724402240
98561356024
103344041120
111466695652
12793ab4b94
13413a62374
1423a1a1c40
151488a1eea
hexc75204a0

3344041120 has 48 divisors (see below), whose sum is σ = 9028914048. Its totient is φ = 1146528000.

The previous prime is 3344041109. The next prime is 3344041153. The reversal of 3344041120 is 211404433.

It is a super-3 number, since 3×33440411203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3344041091 and 3344041100.

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, 1491756 + ... + 1493995.

It is an arithmetic number, because the mean of its divisors is an integer number (188102376).

Almost surely, 23344041120 is an apocalyptic number.

It is an amenable number.

3344041120 is an abundant number, since it is smaller than the sum of its proper divisors (5684872928).

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

3344041120 is a wasteful number, since it uses less digits than its factorization.

3344041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985773 (or 2985765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3344041120 is about 57827.6847193453. The cubic root of 3344041120 is about 1495.3994033587.

Adding to 3344041120 its reverse (211404433), we get a palindrome (3555445553).

The spelling of 3344041120 in words is "three billion, three hundred forty-four million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2985751 5971502 11943004 14928755 20900257 23886008 29857510 41800514 47772016 59715020 83601028 95544032 104501285 119430040 167202056 209002570 238860080 334404112 418005140 477720160 668808224 836010280 1672020560 3344041120