Search a number
-
+
3143342000 = 245310914419
BaseRepresentation
bin1011101101011011…
…1001011110110000
322010001202022121002
42323112321132300
522414143421000
61235524421132
7140615652251
oct27326713660
98101668532
103143342000
111373375407
127388477a8
133b12c1aa6
1421b67ab28
15135e5a8d5
hexbb5b97b0

3143342000 has 80 divisors (see below), whose sum is σ = 7670863200. Its totient is φ = 1245715200.

The previous prime is 3143341963. The next prime is 3143342003. The reversal of 3143342000 is 2433413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3143342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210791 + ... + 225209.

It is an arithmetic number, because the mean of its divisors is an integer number (95885790).

Almost surely, 23143342000 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 3143342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835431600).

3143342000 is an abundant number, since it is smaller than the sum of its proper divisors (4527521200).

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

3143342000 is a wasteful number, since it uses less digits than its factorization.

3143342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14535 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3143342000 is about 56065.5152477885. The cubic root of 3143342000 is about 1464.8636820980.

Adding to 3143342000 its reverse (2433413), we get a palindrome (3145775413).

The spelling of 3143342000 in words is "three billion, one hundred forty-three million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 872 1000 1090 1744 2000 2180 2725 4360 5450 8720 10900 13625 14419 21800 27250 28838 43600 54500 57676 72095 109000 115352 144190 218000 230704 288380 360475 576760 720950 1153520 1441900 1571671 1802375 2883800 3143342 3604750 5767600 6286684 7209500 7858355 12573368 14419000 15716710 25146736 28838000 31433420 39291775 62866840 78583550 125733680 157167100 196458875 314334200 392917750 628668400 785835500 1571671000 3143342000