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331313334390 = 232517216544663
BaseRepresentation
bin1001101001000111101…
…00000100100001110110
31011200011210111020012200
410310203310010201312
520412012203200030
6412111522325330
732636152606413
oct4644364044166
91150153436180
10331313334390
11118566815955
12542641b9846
132532031a13c
141206db7d10a
15894175dd60
hex4d23d04876

331313334390 has 48 divisors (see below), whose sum is σ = 912086124768. Its totient is φ = 83153150208.

The previous prime is 331313334389. The next prime is 331313334449. The reversal of 331313334390 is 93433313133.

331313334390 is a `hidden beast` number, since 3 + 3 + 1 + 313 + 334 + 3 + 9 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 108270802 + ... + 108273861.

It is an arithmetic number, because the mean of its divisors is an integer number (19001794266).

Almost surely, 2331313334390 is an apocalyptic number.

331313334390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331313334390 is an abundant number, since it is smaller than the sum of its proper divisors (580772790378).

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

331313334390 is a wasteful number, since it uses less digits than its factorization.

331313334390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216544693 (or 216544690 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 36.

The spelling of 331313334390 in words is "three hundred thirty-one billion, three hundred thirteen million, three hundred thirty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 216544663 433089326 649633989 1082723315 1299267978 1948901967 2165446630 3248169945 3681259271 3897803934 6496339890 7362518542 9744509835 11043777813 18406296355 19489019670 22087555626 33131333439 36812592710 55218889065 66262666878 110437778130 165656667195 331313334390