Search a number
-
+
30324672 = 2633723109
BaseRepresentation
bin111001110101…
…1011111000000
32010001122122000
41303223133000
530230342142
63001544000
7515520060
oct163533700
963048560
1030324672
1116132414
12a1a5000
1363899c1
1440553a0
1529e014c
hex1ceb7c0

30324672 has 224 divisors, whose sum is σ = 107289600. Its totient is φ = 8211456.

The previous prime is 30324661. The next prime is 30324731. The reversal of 30324672 is 27642303.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278154 + ... + 278262.

Almost surely, 230324672 is an apocalyptic number.

30324672 is a gapful number since it is divisible by the number (32) 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 30324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53644800).

30324672 is an abundant number, since it is smaller than the sum of its proper divisors (76964928).

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

30324672 is a wasteful number, since it uses less digits than its factorization.

30324672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30324672 is about 5506.7841795371. The cubic root of 30324672 is about 311.8401548078.

Adding to 30324672 its reverse (27642303), we get a palindrome (57966975).

The spelling of 30324672 in words is "thirty million, three hundred twenty-four thousand, six hundred seventy-two".