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303432020 = 225109181769
BaseRepresentation
bin10010000101100…
…000000101010100
3210010221221110222
4102011200011110
51110134311040
650035333512
710343062313
oct2205400524
9703857428
10303432020
11146308a71
1285751298
134ab2cc98
142c42827a
151b98abb5
hex12160154

303432020 has 48 divisors (see below), whose sum is σ = 647446800. Its totient is φ = 119439360.

The previous prime is 303432013. The next prime is 303432023. The reversal of 303432020 is 20234303.

It can be written as a sum of positive squares in 8 ways, for example, as 38588944 + 264843076 = 6212^2 + 16274^2 .

It is a super-2 number, since 2×3034320202 = 184141981522560800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 303432020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303432023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394196 + ... + 394964.

It is an arithmetic number, because the mean of its divisors is an integer number (13488475).

Almost surely, 2303432020 is an apocalyptic number.

It is an amenable number.

303432020 is an abundant number, since it is smaller than the sum of its proper divisors (344014780).

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

303432020 is a wasteful number, since it uses less digits than its factorization.

303432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 303432020 is about 17419.3002155655. The cubic root of 303432020 is about 671.9760626630.

Adding to 303432020 its reverse (20234303), we get a palindrome (323666323).

The spelling of 303432020 in words is "three hundred three million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 109 181 218 362 436 545 724 769 905 1090 1538 1810 2180 3076 3620 3845 7690 15380 19729 39458 78916 83821 98645 139189 167642 197290 278378 335284 394580 419105 556756 695945 838210 1391890 1676420 2783780 15171601 30343202 60686404 75858005 151716010 303432020