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3142213344 = 25339737493
BaseRepresentation
bin1011101101001010…
…0101111011100000
322002222121222101000
42323102211323200
522413401311334
61235444312000
7140603241564
oct27322457340
98088558330
103142213344
111372774436
127383a2600
133b0cb814a
1421b4656a4
15135cd6299
hexbb4a5ee0

3142213344 has 96 divisors (see below), whose sum is σ = 9259518240. Its totient is φ = 1036578816.

The previous prime is 3142213339. The next prime is 3142213381. The reversal of 3142213344 is 4433122413.

3142213344 is a `hidden beast` number, since 314 + 2 + 2 + 1 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65062 + ... + 102554.

It is an arithmetic number, because the mean of its divisors is an integer number (96453315).

Almost surely, 23142213344 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 3142213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629759120).

3142213344 is an abundant number, since it is smaller than the sum of its proper divisors (6117304896).

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

3142213344 is a wasteful number, since it uses less digits than its factorization.

3142213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37609 (or 37595 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3142213344 is about 56055.4488341678. The cubic root of 3142213344 is about 1464.6883352743.

Adding to 3142213344 its reverse (4433122413), we get a palindrome (7575335757).

The spelling of 3142213344 in words is "three billion, one hundred forty-two million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 1164 1552 1746 2328 2619 3104 3492 4656 5238 6984 9312 10476 13968 20952 27936 37493 41904 74986 83808 112479 149972 224958 299944 337437 449916 599888 674874 899832 1012311 1199776 1349748 1799664 2024622 2699496 3599328 3636821 4049244 5398992 7273642 8098488 10797984 10910463 14547284 16196976 21820926 29094568 32393952 32731389 43641852 58189136 65462778 87283704 98194167 116378272 130925556 174567408 196388334 261851112 349134816 392776668 523702224 785553336 1047404448 1571106672 3142213344