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3344231340 = 2233512594919
BaseRepresentation
bin1100011101010100…
…1110101110101100
322122001202112222000
43013111032232230
523322110400330
61311502252300
7145605332412
oct30725165654
98561675860
103344231340
11146680555a
12793b87090
13413acab18
1423a2112b2
151488dd560
hexc754ebac

3344231340 has 96 divisors (see below), whose sum is σ = 10414656000. Its totient is φ = 890905536.

The previous prime is 3344231323. The next prime is 3344231351. The reversal of 3344231340 is 431324433.

3344231340 is a `hidden beast` number, since 3 + 344 + 2 + 313 + 4 + 0 = 666.

It is a super-2 number, since 2×33442313402 = 22367766510876391200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677401 + ... + 682319.

It is an arithmetic number, because the mean of its divisors is an integer number (108486000).

Almost surely, 23344231340 is an apocalyptic number.

3344231340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328000).

3344231340 is an abundant number, since it is smaller than the sum of its proper divisors (7070424660).

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

3344231340 is a wasteful number, since it uses less digits than its factorization.

3344231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3344231340 is about 57829.3294099110. The cubic root of 3344231340 is about 1495.4277572247.

Adding to 3344231340 its reverse (431324433), we get a palindrome (3775555773).

The spelling of 3344231340 in words is "three billion, three hundred forty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1259 2518 3777 4919 5036 6295 7554 9838 11331 12590 14757 15108 18885 19676 22662 24595 25180 29514 33993 37770 44271 45324 49190 56655 59028 67986 73785 75540 88542 98380 113310 132813 135972 147570 169965 177084 221355 226620 265626 295140 339930 442710 531252 664065 679860 885420 1328130 2656260 6193021 12386042 18579063 24772084 30965105 37158126 55737189 61930210 74316252 92895315 111474378 123860420 167211567 185790630 222948756 278685945 334423134 371581260 557371890 668846268 836057835 1114743780 1672115670 3344231340