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330521040 = 24335236653
BaseRepresentation
bin10011101100110…
…101100111010000
3212000221012122000
4103230311213100
51134103133130
652444114000
711122245123
oct2354654720
9760835560
10330521040
1115a630393
1292835900
1353625ca5
1431c7a3ba
151e03c260
hex13b359d0

330521040 has 160 divisors (see below), whose sum is σ = 1188138240. Its totient is φ = 84294144.

The previous prime is 330520999. The next prime is 330521041. The reversal of 330521040 is 40125033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330521041) 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, 46354 + ... + 53006.

It is an arithmetic number, because the mean of its divisors is an integer number (7425864).

Almost surely, 2330521040 is an apocalyptic number.

330521040 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 330521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594069120).

330521040 is an abundant number, since it is smaller than the sum of its proper divisors (857617200).

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

330521040 is a wasteful number, since it uses less digits than its factorization.

330521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 6686 counting only the distinct ones).

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

The square root of 330521040 is about 18180.2376222095. The cubic root of 330521040 is about 691.4058294223.

Adding to 330521040 its reverse (40125033), we get a palindrome (370646073).

The spelling of 330521040 in words is "three hundred thirty million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 6653 8280 9936 12420 13306 16560 19959 24840 26612 33265 39918 49680 53224 59877 66530 79836 99795 106448 119754 133060 153019 159672 179631 199590 239508 266120 299385 306038 319344 359262 399180 459057 479016 532240 598770 612076 718524 765095 798360 898155 918114 958032 1197540 1224152 1377171 1437048 1530190 1596720 1796310 1836228 2295285 2395080 2448304 2754342 2874096 3060380 3592620 3672456 4131513 4590570 4790160 5508684 6120760 6885855 7185240 7344912 8263026 9181140 11017368 12241520 13771710 14370480 16526052 18362280 20657565 22034736 27543420 33052104 36724560 41315130 55086840 66104208 82630260 110173680 165260520 330521040