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303513420 = 223572924919
BaseRepresentation
bin10010000101110…
…011111101001100
3210011010002010210
4102011303331030
51110144412140
650041202420
710343551530
oct2205637514
9704102123
10303513420
11146364141
1285790410
134ab5b052
142c449bc0
151b9a4d80
hex12173f4c

303513420 has 96 divisors (see below), whose sum is σ = 1004774400. Its totient is φ = 66979584.

The previous prime is 303513409. The next prime is 303513421. The reversal of 303513420 is 24315303.

It is a super-2 number, since 2×3035134202 = 184240792240192800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (303513421) 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, 280 + ... + 24639.

It is an arithmetic number, because the mean of its divisors is an integer number (10466400).

Almost surely, 2303513420 is an apocalyptic number.

303513420 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 303513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502387200).

303513420 is an abundant number, since it is smaller than the sum of its proper divisors (701260980).

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

303513420 is a wasteful number, since it uses less digits than its factorization.

303513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24967 (or 24965 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 303513420 is about 17421.6365476955. The cubic root of 303513420 is about 672.0361463692.

Adding to 303513420 its reverse (24315303), we get a palindrome (327828723).

The spelling of 303513420 in words is "three hundred three million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 24919 49838 74757 99676 124595 149514 174433 249190 299028 348866 373785 498380 523299 697732 722651 747570 872165 1046598 1445302 1495140 1744330 2093196 2167953 2616495 2890604 3488660 3613255 4335906 5058557 5232990 7226510 8671812 10117114 10465980 10839765 14453020 15175671 20234228 21679530 25292785 30351342 43359060 50585570 60702684 75878355 101171140 151756710 303513420