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331117940 = 225192930047
BaseRepresentation
bin10011101111000…
…111010101110100
3212002001112102102
4103233013111310
51134231233230
652505001232
711130312266
oct2357072564
9762045372
10331117940
1115a9a889a
1292a83218
13537a489a
1431d93b36
151e109045
hex13bc7574

331117940 has 48 divisors (see below), whose sum is σ = 757209600. Its totient is φ = 121145472.

The previous prime is 331117907. The next prime is 331117951. The reversal of 331117940 is 49711133.

It is a happy number.

331117940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4004 + ... + 26043.

It is an arithmetic number, because the mean of its divisors is an integer number (15775200).

Almost surely, 2331117940 is an apocalyptic number.

It is an amenable number.

331117940 is an abundant number, since it is smaller than the sum of its proper divisors (426091660).

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

331117940 is a wasteful number, since it uses less digits than its factorization.

331117940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30104 (or 30102 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 331117940 is about 18196.6463943222. The cubic root of 331117940 is about 691.8217907903.

The spelling of 331117940 in words is "three hundred thirty-one million, one hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 11020 30047 60094 120188 150235 300470 570893 600940 871363 1141786 1742726 2283572 2854465 3485452 4356815 5708930 8713630 11417860 16555897 17427260 33111794 66223588 82779485 165558970 331117940