Search a number
-
+
3023411220 = 2232554730707
BaseRepresentation
bin1011010000110101…
…1001100000010100
321210201002012111100
42310031121200110
522142443124340
61220002110100
7134631366654
oct26415314024
97721065440
103023411220
111311700665
1270464b330
133924c052b
1420977c364
1512a66a830
hexb4359814

3023411220 has 72 divisors (see below), whose sum is σ = 9188079264. Its totient is φ = 804742848.

The previous prime is 3023411219. The next prime is 3023411239. The reversal of 3023411220 is 221143203.

3023411220 is a `hidden beast` number, since 30 + 2 + 3 + 411 + 220 = 666.

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 = 3023411193 and 3023411202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83107 + ... + 113813.

It is an arithmetic number, because the mean of its divisors is an integer number (127612212).

Almost surely, 23023411220 is an apocalyptic number.

3023411220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594039632).

3023411220 is an abundant number, since it is smaller than the sum of its proper divisors (6164668044).

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

3023411220 is a wasteful number, since it uses less digits than its factorization.

3023411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31269 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3023411220 is about 54985.5546484711. The cubic root of 3023411220 is about 1445.9915003260.

Adding to 3023411220 its reverse (221143203), we get a palindrome (3244554423).

The spelling of 3023411220 in words is "three billion, twenty-three million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 547 1094 1641 2188 2735 3282 4923 5470 6564 8205 9846 10940 16410 19692 24615 30707 32820 49230 61414 92121 98460 122828 153535 184242 276363 307070 368484 460605 552726 614140 921210 1105452 1381815 1842420 2763630 5527260 16796729 33593458 50390187 67186916 83983645 100780374 151170561 167967290 201560748 251950935 302341122 335934580 503901870 604682244 755852805 1007803740 1511705610 3023411220