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330122040 = 23357997359
BaseRepresentation
bin10011101011010…
…100001100111000
3212000011221022020
4103223110030320
51134002401130
652431354440
711115663633
oct2353241470
9760157266
10330122040
1115a388636
1292682a20
13535164b1
1431bb4c1a
151deade10
hex13ad4338

330122040 has 128 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 85782528.

The previous prime is 330122033. The next prime is 330122053. The reversal of 330122040 is 40221033.

It is a super-2 number, since 2×3301220402 = 217961122587523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919381 + ... + 919739.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2330122040 is an apocalyptic number.

330122040 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 330122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

330122040 is an abundant number, since it is smaller than the sum of its proper divisors (685941960).

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

330122040 is a wasteful number, since it uses less digits than its factorization.

330122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 330122040 is about 18169.2608545312. The cubic root of 330122040 is about 691.1274991739.

Adding to 330122040 its reverse (40221033), we get a palindrome (370343073).

The spelling of 330122040 in words is "three hundred thirty million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 97 120 158 194 237 291 316 359 388 395 474 485 582 632 718 776 790 948 970 1077 1164 1185 1436 1455 1580 1795 1896 1940 2154 2328 2370 2872 2910 3160 3590 3880 4308 4740 5385 5820 7180 7663 8616 9480 10770 11640 14360 15326 21540 22989 28361 30652 34823 38315 43080 45978 56722 61304 69646 76630 85083 91956 104469 113444 114945 139292 141805 153260 170166 174115 183912 208938 226888 229890 278584 283610 306520 340332 348230 417876 425415 459780 522345 567220 680664 696460 835752 850830 919560 1044690 1134440 1392920 1701660 2089380 2751017 3403320 4178760 5502034 8253051 11004068 13755085 16506102 22008136 27510170 33012204 41265255 55020340 66024408 82530510 110040680 165061020 330122040