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330421520 = 2451113171699
BaseRepresentation
bin10011101100011…
…101010100010000
3212000202011010002
4103230131110100
51134041442040
652442025132
711121352022
oct2354352420
9760664102
10330421520
1115a572640
12927a81a8
13535bc8c0
1431c52012
151e01ca15
hex13b1d510

330421520 has 160 divisors (see below), whose sum is σ = 956188800. Its totient is φ = 104325120.

The previous prime is 330421517. The next prime is 330421541. The reversal of 330421520 is 25124033.

It is a happy number.

It is a super-2 number, since 2×3304215202 = 218356761758220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330421492 and 330421501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193631 + ... + 195329.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2330421520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

330421520 is an abundant number, since it is smaller than the sum of its proper divisors (625767280).

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

330421520 is a wasteful number, since it uses less digits than its factorization.

330421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 330421520 is about 18177.5003782148. The cubic root of 330421520 is about 691.3364282778.

Adding to 330421520 its reverse (25124033), we get a palindrome (355545553).

The spelling of 330421520 in words is "three hundred thirty million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 44 52 55 65 68 80 85 88 104 110 130 136 143 170 176 187 208 220 221 260 272 286 340 374 440 442 520 572 680 715 748 880 884 935 1040 1105 1144 1360 1430 1496 1699 1768 1870 2210 2288 2431 2860 2992 3398 3536 3740 4420 4862 5720 6796 7480 8495 8840 9724 11440 12155 13592 14960 16990 17680 18689 19448 22087 24310 27184 28883 33980 37378 38896 44174 48620 57766 67960 74756 88348 93445 97240 110435 115532 135920 144415 149512 176696 186890 194480 220870 231064 242957 288830 299024 317713 353392 373780 375479 441740 462128 485914 577660 635426 747560 750958 883480 971828 1155320 1214785 1270852 1495120 1501916 1588565 1766960 1877395 1943656 2310640 2429570 2541704 3003832 3177130 3754790 3887312 4130269 4859140 5083408 6007664 6354260 7509580 8260538 9718280 12708520 15019160 16521076 19436560 20651345 25417040 30038320 33042152 41302690 66084304 82605380 165210760 330421520