Search a number
-
+
30466044 = 22347219101
BaseRepresentation
bin111010000110…
…1111111111100
32010022211120000
41310031333330
530244403134
63004554300
7516646200
oct164157774
963284500
1030466044
1116219654
12a252990
13640915b
144090b00
152a1be99
hex1d0dffc

30466044 has 180 divisors, whose sum is σ = 98489160. Its totient is φ = 8164800.

The previous prime is 30466031. The next prime is 30466049. The reversal of 30466044 is 44066403.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 30465999 and 30466017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30466049) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 301594 + ... + 301694.

It is an arithmetic number, because the mean of its divisors is an integer number (547162).

Almost surely, 230466044 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 30466044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49244580).

30466044 is an abundant number, since it is smaller than the sum of its proper divisors (68023116).

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

30466044 is a wasteful number, since it uses less digits than its factorization.

30466044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

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

The square root of 30466044 is about 5519.6054206800. The cubic root of 30466044 is about 312.3239977462.

It can be divided in two parts, 304660 and 44, that added together give a square (304704 = 5522).

The spelling of 30466044 in words is "thirty million, four hundred sixty-six thousand, forty-four".