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30144132 = 22326311327
BaseRepresentation
bin111001011111…
…1011010000100
32002201110222100
41302333122010
530204103012
62554032100
7514135524
oct162773204
962643870
1030144132
1116019807
12a118630
136325785
144009684
1529a68dc
hex1cbf684

30144132 has 36 divisors (see below), whose sum is σ = 76375936. Its totient is φ = 10024560.

The previous prime is 30144131. The next prime is 30144139. The reversal of 30144132 is 23144103.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30144131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22053 + ... + 23379.

Almost surely, 230144132 is an apocalyptic number.

It is an amenable number.

30144132 is an abundant number, since it is smaller than the sum of its proper divisors (46231804).

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

30144132 is a wasteful number, since it uses less digits than its factorization.

30144132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1963 counting only the distinct ones).

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

The square root of 30144132 is about 5490.3672008346. The cubic root of 30144132 is about 311.2200687335.

Adding to 30144132 its reverse (23144103), we get a palindrome (53288235).

It can be divided in two parts, 30144 and 132, that added together give a square (30276 = 1742).

The spelling of 30144132 in words is "thirty million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 631 1262 1327 1893 2524 2654 3786 3981 5308 5679 7572 7962 11358 11943 15924 22716 23886 47772 837337 1674674 2512011 3349348 5024022 7536033 10048044 15072066 30144132