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3441819720 = 233528681831
BaseRepresentation
bin1100110100100110…
…0000000001001000
322212212101120001110
43031021200001020
524022101212340
61325310050320
7151201661553
oct31511400110
98785346043
103441819720
1115068aa109
128007a99a0
1342b0a8a21
1424917569a
15152268680
hexcd260048

3441819720 has 32 divisors (see below), whose sum is σ = 10325459520. Its totient is φ = 917818560.

The previous prime is 3441819709. The next prime is 3441819791. The reversal of 3441819720 is 279181443.

It is a super-2 number, since 2×34418197202 = 23692245969961756800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14340796 + ... + 14341035.

It is an arithmetic number, because the mean of its divisors is an integer number (322670610).

Almost surely, 23441819720 is an apocalyptic number.

3441819720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441819720 is an abundant number, since it is smaller than the sum of its proper divisors (6883639800).

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

3441819720 is a wasteful number, since it uses less digits than its factorization.

3441819720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28681845 (or 28681841 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3441819720 is about 58667.0241276989. The cubic root of 3441819720 is about 1509.8345973236.

The spelling of 3441819720 in words is "three billion, four hundred forty-one million, eight hundred nineteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28681831 57363662 86045493 114727324 143409155 172090986 229454648 286818310 344181972 430227465 573636620 688363944 860454930 1147273240 1720909860 3441819720