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30144339 = 3359127149
BaseRepresentation
bin111001011111…
…1011101010011
32002201111021000
41302333131103
530204104324
62554033043
7514136241
oct162773523
962644230
1030144339
1116019985
12a118783
1363258b4
144009791
1529a69c9
hex1cbf753

30144339 has 32 divisors (see below), whose sum is σ = 46080000. Its totient is φ = 19468512.

The previous prime is 30144319. The next prime is 30144341. The reversal of 30144339 is 93344103.

It is not a de Polignac number, because 30144339 - 216 = 30078803 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202237 + ... + 202385.

It is an arithmetic number, because the mean of its divisors is an integer number (1440000).

Almost surely, 230144339 is an apocalyptic number.

30144339 is a deficient number, since it is larger than the sum of its proper divisors (15935661).

30144339 is a wasteful number, since it uses less digits than its factorization.

30144339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30144339 is about 5490.3860520004. The cubic root of 30144339 is about 311.2207811155.

The spelling of 30144339 in words is "thirty million, one hundred forty-four thousand, three hundred thirty-nine".

Divisors: 1 3 9 27 59 127 149 177 381 447 531 1143 1341 1593 3429 4023 7493 8791 18923 22479 26373 56769 67437 79119 170307 202311 237357 510921 1116457 3349371 10048113 30144339