Base | Representation |
---|---|
bin | 1011101101001100… |
… | …0000011101010000 |
3 | 22002222211111102022 |
4 | 2323103000131100 |
5 | 22413413301000 |
6 | 1235450511012 |
7 | 140604203426 |
oct | 27323003520 |
9 | 8088744368 |
10 | 3142322000 |
11 | 1372839034 |
12 | 738435468 |
13 | 3b102573c |
14 | 21b493116 |
15 | 135d08585 |
hex | bb4c0750 |
3142322000 has 80 divisors (see below), whose sum is σ = 7783658064. Its totient is φ = 1226240000.
The previous prime is 3142321993. The next prime is 3142322017. The reversal of 3142322000 is 2232413.
It can be written as a sum of positive squares in 8 ways, for example, as 1704698944 + 1437623056 = 41288^2 + 37916^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a self number, because there is not a number n which added to its sum of digits gives 3142322000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62840 + ... + 101160.
Almost surely, 23142322000 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 3142322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891829032).
3142322000 is an abundant number, since it is smaller than the sum of its proper divisors (4641336064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3142322000 is a wasteful number, since it uses less digits than its factorization.
3142322000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38385 (or 38369 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 3142322000 is about 56056.4180090023. The cubic root of 3142322000 is about 1464.7052177840.
Adding to 3142322000 its reverse (2232413), we get a palindrome (3144554413).
The spelling of 3142322000 in words is "three billion, one hundred forty-two million, three hundred twenty-two thousand".
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