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303912740 = 225172813181
BaseRepresentation
bin10010000111010…
…101011100100100
3210011212100220102
4102013111130210
51110300201430
650053523232
710350133655
oct2207253444
9704770812
10303912740
1114660715a
1285943518
134ac6aa31
142c51152c
151ba33345
hex121d5724

303912740 has 48 divisors (see below), whose sum is σ = 678376944. Its totient is φ = 113971200.

The previous prime is 303912683. The next prime is 303912751. The reversal of 303912740 is 47219303.

303912740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2334784 + 301577956 = 1528^2 + 17366^2 .

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 15 ways as a sum of consecutive naturals, for example, 93950 + ... + 97130.

It is an arithmetic number, because the mean of its divisors is an integer number (14132853).

Almost surely, 2303912740 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 303912740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339188472).

303912740 is an abundant number, since it is smaller than the sum of its proper divisors (374464204).

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

303912740 is a wasteful number, since it uses less digits than its factorization.

303912740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 303912740 is about 17433.0932424513. The cubic root of 303912740 is about 672.3307405599.

The spelling of 303912740 in words is "three hundred three million, nine hundred twelve thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 281 340 562 1124 1405 2810 3181 4777 5620 6362 9554 12724 15905 19108 23885 31810 47770 54077 63620 95540 108154 216308 270385 540770 893861 1081540 1787722 3575444 4469305 8938610 15195637 17877220 30391274 60782548 75978185 151956370 303912740