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3171141344 = 257192932543
BaseRepresentation
bin1011110100000011…
…1100011011100000
322012000001200010102
42331000330123200
522443303010334
61242400321532
7141404154020
oct27500743340
98160050112
103171141344
111388032478
127460132a8
133b6ca61c7
14221235a80
151385ec67e
hexbd03c6e0

3171141344 has 96 divisors (see below), whose sum is σ = 7539194880. Its totient is φ = 1282632192.

The previous prime is 3171141331. The next prime is 3171141349. The reversal of 3171141344 is 4431411713.

It is a super-2 number, since 2×31711413442 = 20112274847252252672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3171141349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245737 + ... + 1248279.

It is an arithmetic number, because the mean of its divisors is an integer number (78533280).

Almost surely, 23171141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3171141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769597440).

3171141344 is an abundant number, since it is smaller than the sum of its proper divisors (4368053536).

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

3171141344 is a wasteful number, since it uses less digits than its factorization.

3171141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 3171141344 is about 56312.8879032145. The cubic root of 3171141344 is about 1469.1693741714.

The spelling of 3171141344 in words is "three billion, one hundred seventy-one million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 293 304 532 586 608 1064 1172 2051 2128 2344 2543 4102 4256 4688 5086 5567 8204 9376 10172 11134 16408 17801 20344 22268 32816 35602 38969 40688 44536 48317 65632 71204 77938 81376 89072 96634 142408 155876 178144 193268 284816 311752 338219 386536 569632 623504 676438 745099 773072 1247008 1352876 1490198 1546144 2705752 2980396 5215693 5411504 5960792 10431386 10823008 11921584 14156881 20862772 23843168 28313762 41725544 56627524 83451088 99098167 113255048 166902176 198196334 226510096 396392668 453020192 792785336 1585570672 3171141344