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30264144 = 2431314813
BaseRepresentation
bin111001101110…
…0101101010000
32002221120121020
41303130231100
530221423034
63000355440
7515145441
oct163345520
962846536
1030264144
11160a0999
12a175b80
1363682a1
14403b2c8
1529cc249
hex1cdcb50

30264144 has 40 divisors (see below), whose sum is σ = 78795552. Its totient is φ = 10008960.

The previous prime is 30264133. The next prime is 30264151. The reversal of 30264144 is 44146203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3882 + ... + 8694.

Almost surely, 230264144 is an apocalyptic number.

It is an amenable number.

30264144 is an abundant number, since it is smaller than the sum of its proper divisors (48531408).

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

30264144 is a wasteful number, since it uses less digits than its factorization.

30264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30264144 is about 5501.2856679144. The cubic root of 30264144 is about 311.6325391186.

It can be divided in two parts, 302 and 64144, that added together give a palindrome (64446).

The spelling of 30264144 in words is "thirty million, two hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 4813 6288 9626 14439 19252 28878 38504 57756 77008 115512 231024 630503 1261006 1891509 2522012 3783018 5044024 7566036 10088048 15132072 30264144