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331372112 = 2453273101
BaseRepresentation
bin10011110000000…
…101011001010000
3212002112110002012
4103300011121100
51134312401422
652514242052
711132421311
oct2360053120
9762473065
10331372112
11160061855
1292b86328
1353863496
143201c608
151e1594e2
hex13c05650

331372112 has 60 divisors (see below), whose sum is σ = 669907644. Its totient is φ = 158745600.

The previous prime is 331372091. The next prime is 331372121. The reversal of 331372112 is 211273133.

331372112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 92236816 + 239135296 = 9604^2 + 15464^2 .

It is a super-2 number, since 2×3313721122 = 219614953222681088, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3280862 + ... + 3280962.

Almost surely, 2331372112 is an apocalyptic number.

It is an amenable number.

331372112 is an abundant number, since it is smaller than the sum of its proper divisors (338535532).

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

331372112 is a wasteful number, since it uses less digits than its factorization.

331372112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 229 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 331372112 is about 18203.6290887284. The cubic root of 331372112 is about 691.9987637386.

The spelling of 331372112 in words is "three hundred thirty-one million, three hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 53 73 101 106 146 202 212 292 404 424 584 808 848 1168 1616 2809 3869 5353 5618 7373 7738 10706 11236 14746 15476 21412 22472 29492 30952 42824 44944 58984 61904 85648 117968 205057 283709 390769 410114 567418 781538 820228 1134836 1563076 1640456 2269672 3126152 3280912 4539344 6252304 20710757 41421514 82843028 165686056 331372112