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330430331 = 7118275189
BaseRepresentation
bin10011101100011…
…111011101111011
3212000202121012102
4103230133131323
51134042232311
652442134015
711121416510
oct2354373573
9760677172
10330430331
1115a579220
12927b130b
13535c390a
1431c55307
151e02043b
hex13b1f77b

330430331 has 16 divisors (see below), whose sum is σ = 412542720. Its totient is φ = 257117280.

The previous prime is 330430319. The next prime is 330430337. The reversal of 330430331 is 133034033.

It is not a de Polignac number, because 330430331 - 214 = 330413947 is a prime.

It is a super-3 number, since 3×3304303313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330430337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61085 + ... + 66273.

It is an arithmetic number, because the mean of its divisors is an integer number (25783920).

Almost surely, 2330430331 is an apocalyptic number.

330430331 is a deficient number, since it is larger than the sum of its proper divisors (82112389).

330430331 is a wasteful number, since it uses less digits than its factorization.

330430331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034.

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 330430331 is about 18177.7427366546. The cubic root of 330430331 is about 691.3425732681.

Adding to 330430331 its reverse (133034033), we get a palindrome (463464364).

The spelling of 330430331 in words is "three hundred thirty million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 11 77 827 5189 5789 9097 36323 57079 63679 399553 4291303 30039121 47204333 330430331