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328338337 = 11314919501
BaseRepresentation
bin10011100100100…
…000101110100001
3211212211022112011
4103210200232201
51133023311322
652325232521
711064554425
oct2344405641
9755738464
10328338337
1115937a4a8
1291b62741
1353040652
143186cb85
151dc5a677
hex13920ba1

328338337 has 8 divisors (see below), whose sum is σ = 333484200. Its totient is φ = 323232000.

The previous prime is 328338301. The next prime is 328338341. The reversal of 328338337 is 733833823.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5740816 + 322597521 = 2396^2 + 17961^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-328338337 is a prime.

It is a super-3 number, since 3×3283383373 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 328338337.

It is not an unprimeable number, because it can be changed into a prime (328338347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7087 + ... + 26587.

It is an arithmetic number, because the mean of its divisors is an integer number (41685525).

Almost surely, 2328338337 is an apocalyptic number.

It is an amenable number.

328338337 is a deficient number, since it is larger than the sum of its proper divisors (5145863).

328338337 is a wasteful number, since it uses less digits than its factorization.

328338337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19763.

The product of its digits is 217728, while the sum is 40.

The square root of 328338337 is about 18120.1086365397. The cubic root of 328338337 is about 689.8804925001.

The spelling of 328338337 in words is "three hundred twenty-eight million, three hundred thirty-eight thousand, three hundred thirty-seven".

Divisors: 1 113 149 16837 19501 2203613 2905649 328338337