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30145032 = 23321792339
BaseRepresentation
bin111001011111…
…1101000001000
32002201112012200
41302333220020
530204120112
62554040200
7514141251
oct162775010
962645180
1030145032
111601a455
12a119060
136325cc8
144009b28
1529a6cdc
hex1cbfa08

30145032 has 48 divisors (see below), whose sum is σ = 82134000. Its totient is φ = 9987936.

The previous prime is 30145009. The next prime is 30145033. The reversal of 30145032 is 23054103.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 30144996 and 30145014.

It is not an unprimeable number, because it can be changed into a prime (30145033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11719 + ... + 14057.

It is an arithmetic number, because the mean of its divisors is an integer number (1711125).

Almost surely, 230145032 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 30145032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067000).

30145032 is an abundant number, since it is smaller than the sum of its proper divisors (51988968).

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

30145032 is a wasteful number, since it uses less digits than its factorization.

30145032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30145032 is about 5490.4491619539. The cubic root of 30145032 is about 311.2231660226.

Adding to 30145032 its reverse (23054103), we get a palindrome (53199135).

The spelling of 30145032 in words is "thirty million, one hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 537 716 1074 1432 1611 2148 2339 3222 4296 4678 6444 7017 9356 12888 14034 18712 21051 28068 42102 56136 84204 168408 418681 837362 1256043 1674724 2512086 3349448 3768129 5024172 7536258 10048344 15072516 30145032