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330001300 = 225224113693
BaseRepresentation
bin10011101010110…
…110101110010100
3211222221210200101
4103222312232110
51133440020200
652425023444
711114651626
oct2352665624
9758853611
10330001300
1115a305952
1292624b84
13534a3555
1431b82c16
151de8826a
hex13ab6b94

330001300 has 36 divisors (see below), whose sum is σ = 719126716. Its totient is φ = 131443200.

The previous prime is 330001279. The next prime is 330001303. The reversal of 330001300 is 3100033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42224004 + 287777296 = 6498^2 + 16964^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330001303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17254 + ... + 30946.

Almost surely, 2330001300 is an apocalyptic number.

It is an amenable number.

330001300 is an abundant number, since it is smaller than the sum of its proper divisors (389125416).

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

330001300 is a wasteful number, since it uses less digits than its factorization.

330001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13948 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 330001300 is about 18165.9379058721. The cubic root of 330001300 is about 691.0432304292.

Adding to 330001300 its reverse (3100033), we get a palindrome (333101333).

The spelling of 330001300 in words is "three hundred thirty million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 13693 24100 27386 54772 68465 136930 273860 342325 684650 1369300 3300013 6600026 13200052 16500065 33000130 66000260 82500325 165000650 330001300