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330553472 = 2716072
BaseRepresentation
bin10011101100111…
…101100010000000
3212000222212010012
4103230331202000
51134110202342
652444524052
711122441514
oct2354754200
9760885105
10330553472
1115a652797
1292850628
1353637992
1431c88144
151e046b82
hex13b3d880

330553472 has 24 divisors (see below), whose sum is σ = 658934535. Its totient is φ = 165173888.

The previous prime is 330553453. The next prime is 330553477. The reversal of 330553472 is 274355033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 165276736 + 165276736 = 12856^2 + 12856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12856.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330553477) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 204893 + ... + 206499.

Almost surely, 2330553472 is an apocalyptic number.

330553472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330553472 is a deficient number, since it is larger than the sum of its proper divisors (328381063).

330553472 is an frugal number, since it uses more digits than its factorization.

330553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 32.

The square root of 330553472 is about 18181.1295578685. The cubic root of 330553472 is about 691.4284431521.

Multiplying 330553472 by its sum of digits (32), we get a square (10577711104 = 1028482).

330553472 divided by its sum of digits (32) gives a square (10329796 = 32142).

The spelling of 330553472 in words is "three hundred thirty million, five hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 1607 3214 6428 12856 25712 51424 102848 205696 2582449 5164898 10329796 20659592 41319184 82638368 165276736 330553472