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303052540 = 225717223571
BaseRepresentation
bin10010000100000…
…011011011111100
3210010020122221011
4102010003123330
51110040140130
650023245004
710336622050
oct2204033374
9703218834
10303052540
1114607994a
12855a9764
134aa2933b
142c369c60
151b91352a
hex121036fc

303052540 has 96 divisors (see below), whose sum is σ = 774918144. Its totient is φ = 97182720.

The previous prime is 303052513. The next prime is 303052543. The reversal of 303052540 is 45250303.

303052540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303052543) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 530455 + ... + 531025.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 2303052540 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 303052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387459072).

303052540 is an abundant number, since it is smaller than the sum of its proper divisors (471865604).

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

303052540 is a wasteful number, since it uses less digits than its factorization.

303052540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 303052540 is about 17408.4042921803. The cubic root of 303052540 is about 671.6958155377.

The spelling of 303052540 in words is "three hundred three million, fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 223 238 340 446 476 571 595 892 1115 1142 1190 1561 2230 2284 2380 2855 3122 3791 3997 4460 5710 6244 7582 7805 7994 9707 11420 15164 15610 15988 18955 19414 19985 26537 31220 37910 38828 39970 48535 53074 67949 75820 79940 97070 106148 127333 132685 135898 194140 254666 265370 271796 339745 509332 530740 636665 679490 891331 1273330 1358980 1782662 2164661 2546660 3565324 4329322 4456655 8658644 8913310 10823305 15152627 17826620 21646610 30305254 43293220 60610508 75763135 151526270 303052540