Search a number
-
+
30945024 = 283311237
BaseRepresentation
bin111011000001…
…0111100000000
32011020011121000
41312002330000
530410220044
63023132000
7524012505
oct166027400
964204530
1030945024
1116516500
12a444000
136546186
1441774ac
152ab3d69
hex1d82f00

30945024 has 216 divisors, whose sum is σ = 103303760. Its totient is φ = 9123840.

The previous prime is 30945007. The next prime is 30945043. The reversal of 30945024 is 42054903.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836334 + ... + 836370.

Almost surely, 230945024 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 30945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51651880).

30945024 is an abundant number, since it is smaller than the sum of its proper divisors (72358736).

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

30945024 is a wasteful number, since it uses less digits than its factorization.

30945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30945024 is about 5562.8251815062. The cubic root of 30945024 is about 313.9522558482.

Adding to 30945024 its reverse (42054903), we get a palindrome (72999927).

It can be divided in two parts, 3094 and 5024, that added together give a palindrome (8118).

The spelling of 30945024 in words is "thirty million, nine hundred forty-five thousand, twenty-four".