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334501020 = 223257535009
BaseRepresentation
bin10011111100000…
…001010010011100
3212022102102010200
4103330001102130
51141113013040
653105303500
711201132430
oct2374012234
9768372120
10334501020
111618a9627
1294034b90
13543ba6c9
14325d49c0
151e576630
hex13f0149c

334501020 has 144 divisors (see below), whose sum is σ = 1181718720. Its totient is φ = 74999808.

The previous prime is 334501007. The next prime is 334501081. The reversal of 334501020 is 20105433.

It is a super-2 number, since 2×3345010202 = 223781864762080800, which contains 22 as substring.

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 = 334500984 and 334501002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 64276 + ... + 69284.

It is an arithmetic number, because the mean of its divisors is an integer number (8206380).

Almost surely, 2334501020 is an apocalyptic number.

334501020 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 334501020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590859360).

334501020 is an abundant number, since it is smaller than the sum of its proper divisors (847217700).

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

334501020 is a wasteful number, since it uses less digits than its factorization.

334501020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5079 counting only the distinct ones).

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

The square root of 334501020 is about 18289.3690432448. The cubic root of 334501020 is about 694.1699595088.

Adding to 334501020 its reverse (20105433), we get a palindrome (354606453).

The spelling of 334501020 in words is "three hundred thirty-four million, five hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 630 636 742 795 954 1060 1113 1260 1484 1590 1855 1908 2226 2385 3180 3339 3710 4452 4770 5009 5565 6678 7420 9540 10018 11130 13356 15027 16695 20036 22260 25045 30054 33390 35063 45081 50090 60108 66780 70126 75135 90162 100180 105189 140252 150270 175315 180324 210378 225405 265477 300540 315567 350630 420756 450810 525945 530954 631134 701260 796431 901620 1051890 1061908 1262268 1327385 1577835 1592862 1858339 2103780 2389293 2654770 3155670 3185724 3716678 3982155 4778586 5309540 5575017 6311340 7433356 7964310 9291695 9557172 11150034 11946465 15928620 16725051 18583390 22300068 23892930 27875085 33450102 37166780 47785860 55750170 66900204 83625255 111500340 167250510 334501020