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331244040 = 23353378191
BaseRepresentation
bin10011101111100…
…110001000001000
3212002021221101210
4103233212020020
51134244302130
652511413120
711131346031
oct2357461010
9762257353
10331244040
1115aa84606
1292b241a0
135381a0ba
1431dc7a88
151e1315b0
hex13be6208

331244040 has 64 divisors (see below), whose sum is σ = 996802560. Its totient is φ = 88058880.

The previous prime is 331244033. The next prime is 331244041. The reversal of 331244040 is 40442133.

It is a super-2 number, since 2×3312440402 = 219445228071043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331243998 and 331244016.

It is not an unprimeable number, because it can be changed into a prime (331244041) 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 15 ways as a sum of consecutive naturals, for example, 36345 + ... + 44535.

It is an arithmetic number, because the mean of its divisors is an integer number (15575040).

Almost surely, 2331244040 is an apocalyptic number.

331244040 is a gapful number since it is divisible by the number (30) 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 331244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498401280).

331244040 is an abundant number, since it is smaller than the sum of its proper divisors (665558520).

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

331244040 is a wasteful number, since it uses less digits than its factorization.

331244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 331244040 is about 18200.1109886726. The cubic root of 331244040 is about 691.9096020555.

Adding to 331244040 its reverse (40442133), we get a palindrome (371686173).

The spelling of 331244040 in words is "three hundred thirty-one million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 8191 10110 13480 16382 20220 24573 32764 40440 40955 49146 65528 81910 98292 122865 163820 196584 245730 327640 491460 982920 2760367 5520734 8281101 11041468 13801835 16562202 22082936 27603670 33124404 41405505 55207340 66248808 82811010 110414680 165622020 331244040