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331471072 = 2547613613
BaseRepresentation
bin10011110000011…
…101100011100000
3212002201110211101
4103300131203200
51134324033242
652520324144
711133312652
oct2360354340
9762643741
10331471072
1116011a139
1293013654
135389953a
14320466d2
151e1789b7
hex13c1d8e0

331471072 has 48 divisors (see below), whose sum is σ = 677581632. Its totient is φ = 159505920.

The previous prime is 331471067. The next prime is 331471079. The reversal of 331471072 is 270174133.

It is a self number, because there is not a number n which added to its sum of digits gives 331471072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331471079) 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 7 ways as a sum of consecutive naturals, for example, 89938 + ... + 93550.

It is an arithmetic number, because the mean of its divisors is an integer number (14116284).

Almost surely, 2331471072 is an apocalyptic number.

331471072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331471072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338790816).

331471072 is an abundant number, since it is smaller than the sum of its proper divisors (346110560).

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

331471072 is a wasteful number, since it uses less digits than its factorization.

331471072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 331471072 is about 18206.3470251448. The cubic root of 331471072 is about 692.0676423793.

The spelling of 331471072 in words is "three hundred thirty-one million, four hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 47 61 94 122 188 244 376 488 752 976 1504 1952 2867 3613 5734 7226 11468 14452 22936 28904 45872 57808 91744 115616 169811 220393 339622 440786 679244 881572 1358488 1763144 2716976 3526288 5433952 7052576 10358471 20716942 41433884 82867768 165735536 331471072