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330060040 = 2358251501
BaseRepresentation
bin10011101011000…
…101000100001000
3212000001210020221
4103223011010020
51133443410130
652430155424
711115315112
oct2353050410
9760053227
10330060040
1115a345aa2
1292652b74
13534c41cb
1431b9a3b2
151de9a87a
hex13ac5108

330060040 has 16 divisors (see below), whose sum is σ = 742635180. Its totient is φ = 132024000.

The previous prime is 330060013. The next prime is 330060047. The reversal of 330060040 is 40060033.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 323496196 + 6563844 = 17986^2 + 2562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330059996 and 330060023.

It is not an unprimeable number, because it can be changed into a prime (330060047) 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 3 ways as a sum of consecutive naturals, for example, 4125711 + ... + 4125790.

Almost surely, 2330060040 is an apocalyptic number.

It is an amenable number.

330060040 is an abundant number, since it is smaller than the sum of its proper divisors (412575140).

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

330060040 is a wasteful number, since it uses less digits than its factorization.

330060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251512 (or 8251508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 330060040 is about 18167.5545960374. The cubic root of 330060040 is about 691.0842297335.

The spelling of 330060040 in words is "three hundred thirty million, sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 8251501 16503002 33006004 41257505 66012008 82515010 165030020 330060040