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330241320 = 233351717987
BaseRepresentation
bin10011101011110…
…001010100101000
3212000101222221000
4103223301110220
51134020210240
652434115000
711120001453
oct2353612450
9760358830
10330241320
1115a45a212
129271ba60
1353558886
1431c0649a
151ded4430
hex13af1528

330241320 has 128 divisors (see below), whose sum is σ = 1165622400. Its totient is φ = 82879488.

The previous prime is 330241319. The next prime is 330241321. The reversal of 330241320 is 23142033.

330241320 is a `hidden beast` number, since 3 + 302 + 41 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (330241319) and next prime (330241321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330241293 and 330241302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330241321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9367 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (9106425).

Almost surely, 2330241320 is an apocalyptic number.

330241320 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 330241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582811200).

330241320 is an abundant number, since it is smaller than the sum of its proper divisors (835381080).

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

330241320 is a wasteful number, since it uses less digits than its factorization.

330241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18024 (or 18014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330241320 is about 18172.5430251245. The cubic root of 330241320 is about 691.2107287590.

Adding to 330241320 its reverse (23142033), we get a palindrome (353383353).

The spelling of 330241320 in words is "three hundred thirty million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 17987 18360 35974 53961 71948 89935 107922 143896 161883 179870 215844 269805 305779 323766 359740 431688 485649 539610 611558 647532 719480 809415 917337 971298 1079220 1223116 1295064 1528895 1618830 1834674 1942596 2158440 2428245 2446232 2752011 3057790 3237660 3669348 3885192 4586685 4856490 5504022 6115580 6475320 7338696 8256033 9173370 9712980 11008044 12231160 13760055 16512066 18346740 19425960 22016088 27520110 33024132 36693480 41280165 55040220 66048264 82560330 110080440 165120660 330241320