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303442304 = 2711613533
BaseRepresentation
bin10010000101100…
…010100110000000
3210010222110120212
4102011202212000
51110140123204
650035453252
710343134304
oct2205424600
9703873525
10303442304
11146315770
1285757228
134ab34879
142c42bd04
151b98dc6e
hex12162980

303442304 has 64 divisors (see below), whose sum is σ = 670470480. Its totient is φ = 135628800.

The previous prime is 303442277. The next prime is 303442319. The reversal of 303442304 is 403244303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 303442304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84122 + ... + 87654.

Almost surely, 2303442304 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 303442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335235240).

303442304 is an abundant number, since it is smaller than the sum of its proper divisors (367028176).

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

303442304 is a wasteful number, since it uses less digits than its factorization.

303442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 303442304 is about 17419.5954028789. The cubic root of 303442304 is about 671.9836541753.

Adding to 303442304 its reverse (403244303), we get a palindrome (706686607).

The spelling of 303442304 in words is "three hundred three million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 976 1342 1408 1952 2684 3533 3904 5368 7066 7808 10736 14132 21472 28264 38863 42944 56528 77726 85888 113056 155452 215513 226112 310904 431026 452224 621808 862052 1243616 1724104 2370643 2487232 3448208 4741286 4974464 6896416 9482572 13792832 18965144 27585664 37930288 75860576 151721152 303442304