Search a number
-
+
330014520 = 233351127779
BaseRepresentation
bin10011101010111…
…001111100111000
3211222222110211000
4103222321330320
51133440431040
652425205000
711115035313
oct2352717470
9758873730
10330014520
1115a314880
1292630760
13534a9584
1431b8797a
151de8c130
hex13ab9f38

330014520 has 128 divisors (see below), whose sum is σ = 1200096000. Its totient is φ = 80000640.

The previous prime is 330014513. The next prime is 330014537. The reversal of 330014520 is 25410033.

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 = 330014493 and 330014502.

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 31 ways as a sum of consecutive naturals, for example, 2010 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (9375750).

Almost surely, 2330014520 is an apocalyptic number.

330014520 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 330014520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600048000).

330014520 is an abundant number, since it is smaller than the sum of its proper divisors (870081480).

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

330014520 is a wasteful number, since it uses less digits than its factorization.

330014520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810 (or 27800 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 330014520 is about 18166.3017700356. The cubic root of 330014520 is about 691.0524581399.

Adding to 330014520 its reverse (25410033), we get a palindrome (355424553).

The spelling of 330014520 in words is "three hundred thirty million, fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 27779 55558 83337 111116 138895 166674 222232 250011 277790 305569 333348 416685 500022 555580 611138 666696 750033 833370 916707 1000044 1111160 1222276 1250055 1500066 1527845 1666740 1833414 2000088 2444552 2500110 2750121 3000132 3055690 3333480 3666828 3750165 4583535 5000220 5500242 6000264 6111380 7333656 7500330 8250363 9167070 10000440 11000484 12222760 13750605 15000660 16500726 18334140 22000968 27501210 30001320 33001452 36668280 41251815 55002420 66002904 82503630 110004840 165007260 330014520