Search a number
-
+
3022323120 = 243254197671
BaseRepresentation
bin1011010000100100…
…1111110110110000
321210122000220220100
42310021033312300
522142203314440
61215522512400
7134616215445
oct26411176660
97718026810
103022323120
111311028103
12704205700
133921cc19b
142095779cc
1512a503230
hexb424fdb0

3022323120 has 60 divisors (see below), whose sum is σ = 10149970896. Its totient is φ = 805952640.

The previous prime is 3022323067. The next prime is 3022323127. The reversal of 3022323120 is 213232203.

It is a happy number.

3022323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3022323093 and 3022323102.

It is not an unprimeable number, because it can be changed into a prime (3022323127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2098116 + ... + 2099555.

Almost surely, 23022323120 is an apocalyptic number.

3022323120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3022323120 is an abundant number, since it is smaller than the sum of its proper divisors (7127647776).

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

3022323120 is a wasteful number, since it uses less digits than its factorization.

3022323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197690 (or 4197681 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3022323120 is about 54975.6593412030. The cubic root of 3022323120 is about 1445.8180128286.

Adding to 3022323120 its reverse (213232203), we get a palindrome (3235555323).

The spelling of 3022323120 in words is "three billion, twenty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4197671 8395342 12593013 16790684 20988355 25186026 33581368 37779039 41976710 50372052 62965065 67162736 75558078 83953420 100744104 125930130 151116156 167906840 188895195 201488208 251860260 302232312 335813680 377790390 503720520 604464624 755580780 1007441040 1511161560 3022323120