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30244032 = 2632713577
BaseRepresentation
bin111001101011…
…1110011000000
32002220120000100
41303113303000
530220302112
63000122400
7515033010
oct163276300
962816010
1030244032
1116087875
12a166400
13635c0a0
144033c40
1529c62dc
hex1cd7cc0

30244032 has 168 divisors, whose sum is σ = 106879136. Its totient is φ = 7962624.

The previous prime is 30244021. The next prime is 30244043. The reversal of 30244032 is 23044203.

It is an interprime number because it is at equal distance from previous prime (30244021) and next prime (30244043).

It is a tau number, because it is divible by the number of its divisors (168).

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 = 30243996 and 30244014.

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, 52128 + ... + 52704.

Almost surely, 230244032 is an apocalyptic number.

30244032 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 30244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53439568).

30244032 is an abundant number, since it is smaller than the sum of its proper divisors (76635104).

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

30244032 is a wasteful number, since it uses less digits than its factorization.

30244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30244032 is about 5499.4574277832. The cubic root of 30244032 is about 311.5634921466.

Adding to 30244032 its reverse (23044203), we get a palindrome (53288235).

It can be divided in two parts, 3024 and 4032, that added together give a square (7056 = 842).

The spelling of 30244032 in words is "thirty million, two hundred forty-four thousand, thirty-two".