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3119328 = 253210831
BaseRepresentation
bin1011111001100011100000
312212110220200
423321203200
51244304303
6150505200
735341152
oct13714340
95773820
103119328
111840663
121065200
13852a74
145b2ad2
154193a3
hex2f98e0

3119328 has 36 divisors (see below), whose sum is σ = 8871408. Its totient is φ = 1039680.

The previous prime is 3119317. The next prime is 3119341. The reversal of 3119328 is 8239113.

3119328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5128 + ... + 5703.

It is an arithmetic number, because the mean of its divisors is an integer number (246428).

Almost surely, 23119328 is an apocalyptic number.

It is an amenable number.

3119328 is an abundant number, since it is smaller than the sum of its proper divisors (5752080).

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

3119328 is a wasteful number, since it uses less digits than its factorization.

3119328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10836 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3119328 is about 1766.1619404800. The cubic root of 3119328 is about 146.1123798552.

The spelling of 3119328 in words is "three million, one hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10831 21662 32493 43324 64986 86648 97479 129972 173296 194958 259944 346592 389916 519888 779832 1039776 1559664 3119328