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331468830 = 232572116833
BaseRepresentation
bin10011110000011…
…101000000011110
3212002201100202100
4103300131000132
51134324000310
652520305530
711133303300
oct2360350036
9762640670
10331468830
11160118490
12930122a6
1353898504
1432045970
151e177ec0
hex13c1d01e

331468830 has 144 divisors (see below), whose sum is σ = 1093822704. Its totient is φ = 68866560.

The previous prime is 331468783. The next prime is 331468853. The reversal of 331468830 is 38864133.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 45094 + ... + 51926.

It is an arithmetic number, because the mean of its divisors is an integer number (7595991).

Almost surely, 2331468830 is an apocalyptic number.

331468830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331468830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546911352).

331468830 is an abundant number, since it is smaller than the sum of its proper divisors (762353874).

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

331468830 is a wasteful number, since it uses less digits than its factorization.

331468830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 331468830 is about 18206.2854531066. The cubic root of 331468830 is about 692.0660820429.

The spelling of 331468830 in words is "three hundred thirty-one million, four hundred sixty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4410 4851 5390 6833 6930 8085 9702 13666 16170 20499 24255 34165 40998 47831 48510 61497 68330 75163 95662 102495 122994 143493 150326 204990 225489 239155 286986 307485 334817 375815 430479 450978 478310 526141 614970 669634 676467 717465 751630 860958 1004451 1052282 1127445 1352934 1434930 1578423 1674085 2008902 2152395 2254890 2630705 3013353 3156846 3348170 3382335 3682987 4304790 4735269 5022255 5261410 6026706 6764670 7365974 7892115 9470538 10044510 11048961 15066765 15784230 18414935 22097922 23676345 30133530 33146883 36829870 47352690 55244805 66293766 110489610 165734415 331468830