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303742464 = 293316379
BaseRepresentation
bin10010000110101…
…011111000000000
3210011112201022220
4102012223320000
51110224224324
650050131040
710345524354
oct2206537000
9704481286
10303742464
11146500233
1285880a80
134ac0b38c
142c4a9464
151b9ecb79
hex121abe00

303742464 has 80 divisors (see below), whose sum is σ = 835422720. Its totient is φ = 97966080.

The previous prime is 303742463. The next prime is 303742469. The reversal of 303742464 is 464247303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303742463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44427 + ... + 50805.

It is an arithmetic number, because the mean of its divisors is an integer number (10442784).

Almost surely, 2303742464 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 303742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417711360).

303742464 is an abundant number, since it is smaller than the sum of its proper divisors (531680256).

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

303742464 is an equidigital number, since it uses as much as digits as its factorization.

303742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 303742464 is about 17428.2088580554. The cubic root of 303742464 is about 672.2051527827.

Adding to 303742464 its reverse (464247303), we get a palindrome (767989767).

The spelling of 303742464 in words is "three hundred three million, seven hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 6379 7936 11904 12758 15872 19137 23808 25516 38274 47616 51032 76548 102064 153096 197749 204128 306192 395498 408256 593247 612384 790996 816512 1186494 1224768 1581992 1633024 2372988 2449536 3163984 3266048 4745976 4899072 6327968 9491952 9798144 12655936 18983904 25311872 37967808 50623744 75935616 101247488 151871232 303742464