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30394144 = 2511791093
BaseRepresentation
bin111001111110…
…0011100100000
32010012011221001
41303330130200
530240103034
63003241344
7516226444
oct163743440
963164831
1030394144
111617a630
12a219254
1363b2501
144072824
152a05a14
hex1cfc720

30394144 has 48 divisors (see below), whose sum is σ = 66165120. Its totient is φ = 13628160.

The previous prime is 30394139. The next prime is 30394153. The reversal of 30394144 is 44149303.

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, 27262 + ... + 28354.

It is an arithmetic number, because the mean of its divisors is an integer number (1378440).

Almost surely, 230394144 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 30394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33082560).

30394144 is an abundant number, since it is smaller than the sum of its proper divisors (35770976).

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

30394144 is a wasteful number, since it uses less digits than its factorization.

30394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 30394144 is about 5513.0884266444. The cubic root of 30394144 is about 312.0781088682.

The spelling of 30394144 in words is "thirty million, three hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1093 1264 1738 2186 2528 3476 4372 6952 8744 12023 13904 17488 24046 27808 34976 48092 86347 96184 172694 192368 345388 384736 690776 949817 1381552 1899634 2763104 3799268 7598536 15197072 30394144