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329144670 = 232531117973
BaseRepresentation
bin10011100111100…
…101100101011110
3211221100021121100
4103213211211132
51133230112140
652354413530
711104453311
oct2347454536
9757307540
10329144670
11159880298
12922912a6
135326367a
14319dc978
151dd69530
hex139e595e

329144670 has 48 divisors (see below), whose sum is σ = 883389312. Its totient is φ = 84939840.

The previous prime is 329144617. The next prime is 329144707. The reversal of 329144670 is 76441923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56197 + ... + 61776.

It is an arithmetic number, because the mean of its divisors is an integer number (18403944).

Almost surely, 2329144670 is an apocalyptic number.

329144670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

329144670 is an abundant number, since it is smaller than the sum of its proper divisors (554244642).

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

329144670 is a wasteful number, since it uses less digits than its factorization.

329144670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118017 (or 118014 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 329144670 is about 18142.3446665529. The cubic root of 329144670 is about 690.4447668065. Note that the first 3 decimals are identical.

It can be divided in two parts, 3291 and 44670, that added together give a square (47961 = 2192).

The spelling of 329144670 in words is "three hundred twenty-nine million, one hundred forty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 117973 235946 353919 589865 707838 1061757 1179730 1769595 2123514 3539190 3657163 5308785 7314326 10617570 10971489 18285815 21942978 32914467 36571630 54857445 65828934 109714890 164572335 329144670