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303323034 = 237223311447
BaseRepresentation
bin10010000101000…
…101011110011010
3210010202101222110
4102011011132122
51110122314114
650033133150
710342126500
oct2205053632
9703671873
10303323034
111462440a3
12856ba1b6
134aac24b1
142c3da670
151b968759
hex1214579a

303323034 has 96 divisors (see below), whose sum is σ = 760651776. Its totient is φ = 80166240.

The previous prime is 303323029. The next prime is 303323113. The reversal of 303323034 is 430323303.

303323034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 303323034.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 208899 + ... + 210345.

It is an arithmetic number, because the mean of its divisors is an integer number (7923456).

Almost surely, 2303323034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303323034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380325888).

303323034 is an abundant number, since it is smaller than the sum of its proper divisors (457328742).

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

303323034 is a wasteful number, since it uses less digits than its factorization.

303323034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

The square root of 303323034 is about 17416.1716229486. The cubic root of 303323034 is about 671.8956001010.

Adding to 303323034 its reverse (430323303), we get a palindrome (733646337).

The spelling of 303323034 in words is "three hundred three million, three hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 49 62 69 93 98 138 147 161 186 217 294 322 434 483 651 713 966 1127 1302 1426 1447 1519 2139 2254 2894 3038 3381 4278 4341 4557 4991 6762 8682 9114 9982 10129 14973 20258 29946 30387 33281 34937 44857 60774 66562 69874 70903 89714 99843 104811 134571 141806 199686 209622 212709 232967 269142 313999 425418 465934 627998 698901 941997 1031711 1397802 1630769 1883994 2063422 2197993 3095133 3261538 4395986 4892307 6190266 6593979 7221977 9784614 13187958 14443954 21665931 43331862 50553839 101107678 151661517 303323034