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303424020 = 223255928571
BaseRepresentation
bin10010000101011…
…110001000010100
3210010221112111200
4102011132020110
51110134032040
650035232500
710343030064
oct2205361024
9703845450
10303424020
11146302a59
1285748730
134ab29453
142c4253a4
151b988630
hex1215e214

303424020 has 72 divisors (see below), whose sum is σ = 936018720. Its totient is φ = 79538880.

The previous prime is 303424019. The next prime is 303424021. The reversal of 303424020 is 20424303.

It is an interprime number because it is at equal distance from previous prime (303424019) and next prime (303424021).

It is a super-2 number, since 2×3034240202 = 184132271825920800, 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 = 303423984 and 303424002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303424021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3666 + ... + 24905.

It is an arithmetic number, because the mean of its divisors is an integer number (13000260).

Almost surely, 2303424020 is an apocalyptic number.

303424020 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 303424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468009360).

303424020 is an abundant number, since it is smaller than the sum of its proper divisors (632594700).

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

303424020 is a wasteful number, since it uses less digits than its factorization.

303424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28645 (or 28640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 303424020 is about 17419.0705837022. The cubic root of 303424020 is about 671.9701570506.

Adding to 303424020 its reverse (20424303), we get a palindrome (323848323).

The spelling of 303424020 in words is "three hundred three million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 28571 57142 85713 114284 142855 171426 257139 285710 342852 428565 514278 571420 857130 1028556 1285695 1685689 1714260 2571390 3371378 5057067 5142780 6742756 8428445 10114134 15171201 16856890 20228268 25285335 30342402 33713780 50570670 60684804 75856005 101141340 151712010 303424020