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331606620 = 2232519472063
BaseRepresentation
bin10011110000111…
…110101001011100
3212002222100202200
4103300332221130
51134342402440
652523251500
711134416102
oct2360765134
9762870680
10331606620
11160201a64
1293079b90
1353916147
143207dc72
151e1a3c30
hex13c3ea5c

331606620 has 144 divisors (see below), whose sum is σ = 1081866240. Its totient is φ = 81952128.

The previous prime is 331606603. The next prime is 331606621. The reversal of 331606620 is 26606133.

331606620 is a `hidden beast` number, since 3 + 31 + 6 + 0 + 6 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331606621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159709 + ... + 161771.

It is an arithmetic number, because the mean of its divisors is an integer number (7512960).

Almost surely, 2331606620 is an apocalyptic number.

331606620 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 331606620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540933120).

331606620 is an abundant number, since it is smaller than the sum of its proper divisors (750259620).

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

331606620 is a wasteful number, since it uses less digits than its factorization.

331606620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 331606620 is about 18210.0691926198. The cubic root of 331606620 is about 692.1619649398.

The spelling of 331606620 in words is "three hundred thirty-one million, six hundred six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 228 235 282 285 342 380 423 470 564 570 684 705 846 855 893 940 1140 1410 1692 1710 1786 2063 2115 2679 2820 3420 3572 4126 4230 4465 5358 6189 8037 8252 8460 8930 10315 10716 12378 13395 16074 17860 18567 20630 24756 26790 30945 32148 37134 39197 40185 41260 53580 61890 74268 78394 80370 92835 96961 117591 123780 156788 160740 185670 193922 195985 235182 290883 352773 371340 387844 391970 470364 484805 581766 587955 705546 783940 872649 969610 1163532 1175910 1411092 1454415 1745298 1763865 1842259 1939220 2351820 2908830 3490596 3527730 3684518 4363245 5526777 5817660 7055460 7369036 8726490 9211295 11053554 16580331 17452980 18422590 22107108 27633885 33160662 36845180 55267770 66321324 82901655 110535540 165803310 331606620