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303379380 = 223251685441
BaseRepresentation
bin10010000101010…
…011001110110100
3210010212021021100
4102011103032310
51110131120010
650034250100
710342452663
oct2205231664
9703767240
10303379380
11146282467
1285726930
134ab12035
142c412dda
151b97a2c0
hex121533b4

303379380 has 36 divisors (see below), whose sum is σ = 920251332. Its totient is φ = 80901120.

The previous prime is 303379343. The next prime is 303379397. The reversal of 303379380 is 83973303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128187684 + 175191696 = 11322^2 + 13236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 842541 + ... + 842900.

It is an arithmetic number, because the mean of its divisors is an integer number (25562537).

Almost surely, 2303379380 is an apocalyptic number.

303379380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

303379380 is an abundant number, since it is smaller than the sum of its proper divisors (616871952).

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

303379380 is a wasteful number, since it uses less digits than its factorization.

303379380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685456 (or 1685451 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 303379380 is about 17417.7891823274. The cubic root of 303379380 is about 671.9372018273.

The spelling of 303379380 in words is "three hundred three million, three hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1685441 3370882 5056323 6741764 8427205 10112646 15168969 16854410 20225292 25281615 30337938 33708820 50563230 60675876 75844845 101126460 151689690 303379380