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331039040 = 2652234639
BaseRepresentation
bin10011101110110…
…100000101000000
3212001220112012012
4103232310011000
51134221222130
652503152052
711126533253
oct2356640500
9761815165
10331039040
1115a954592
1292a45628
13537779b7
1431d7309a
151e0e0995
hex13bb4140

331039040 has 56 divisors (see below), whose sum is σ = 791992320. Its totient is φ = 131793408.

The previous prime is 331039039. The next prime is 331039067. The reversal of 331039040 is 40930133.

It is a junction number, because it is equal to n+sod(n) for n = 331038997 and 331039015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69041 + ... + 73679.

It is an arithmetic number, because the mean of its divisors is an integer number (14142720).

Almost surely, 2331039040 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 331039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395996160).

331039040 is an abundant number, since it is smaller than the sum of its proper divisors (460953280).

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

331039040 is a wasteful number, since it uses less digits than its factorization.

331039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 331039040 is about 18194.4782832595. The cubic root of 331039040 is about 691.7668364786.

Adding to 331039040 its reverse (40930133), we get a palindrome (371969173).

The spelling of 331039040 in words is "three hundred thirty-one million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 223 320 446 892 1115 1784 2230 3568 4460 4639 7136 8920 9278 14272 17840 18556 23195 35680 37112 46390 71360 74224 92780 148448 185560 296896 371120 742240 1034497 1484480 2068994 4137988 5172485 8275976 10344970 16551952 20689940 33103904 41379880 66207808 82759760 165519520 331039040