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303503420 = 2251113110531
BaseRepresentation
bin10010000101110…
…001100000111100
3210011002120102102
4102011301200330
51110144102140
650041044232
710343510423
oct2205614074
9704076372
10303503420
11146357680
1285786678
134ab5662c
142c4462ba
151b9a1e15
hex1217183c

303503420 has 48 divisors (see below), whose sum is σ = 700672896. Its totient is φ = 109512000.

The previous prime is 303503419. The next prime is 303503437. The reversal of 303503420 is 24305303.

It is a super-2 number, since 2×3035034202 = 184228651903392800, 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 = 303503392 and 303503401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23555 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (14597352).

Almost surely, 2303503420 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 303503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350336448).

303503420 is an abundant number, since it is smaller than the sum of its proper divisors (397169476).

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

303503420 is a wasteful number, since it uses less digits than its factorization.

303503420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 303503420 is about 17421.3495458877. The cubic root of 303503420 is about 672.0287656573.

Adding to 303503420 its reverse (24305303), we get a palindrome (327808723).

The spelling of 303503420 in words is "three hundred three million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 10531 14410 21062 28820 42124 52655 105310 115841 210620 231682 463364 579205 1158410 1379561 2316820 2759122 5518244 6897805 13795610 15175171 27591220 30350342 60700684 75875855 151751710 303503420