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329028973 = 7213239733
BaseRepresentation
bin10011100111001…
…001010101101101
3211221010101220021
4103213021111231
51133212411343
652352122141
711103462100
oct2347112555
9757111807
10329028973
11159801379
1292236351
1353222b00
14319ac737
151dd450ed
hex139c956d

329028973 has 18 divisors (see below), whose sum is σ = 414465354. Its totient is φ = 260324064.

The previous prime is 329028971. The next prime is 329028979. The reversal of 329028973 is 379820923.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24980004 + 304048969 = 4998^2 + 17437^2 .

It is not a de Polignac number, because 329028973 - 21 = 329028971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329028971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11586 + ... + 28147.

It is an arithmetic number, because the mean of its divisors is an integer number (23025853).

Almost surely, 2329028973 is an apocalyptic number.

It is an amenable number.

329028973 is a deficient number, since it is larger than the sum of its proper divisors (85436381).

329028973 is a wasteful number, since it uses less digits than its factorization.

329028973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39773 (or 39753 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 329028973 is about 18139.1557962326. The cubic root of 329028973 is about 690.3638583620.

The spelling of 329028973 in words is "three hundred twenty-nine million, twenty-eight thousand, nine hundred seventy-three".

Divisors: 1 7 13 49 91 169 637 1183 8281 39733 278131 516529 1946917 3615703 6714877 25309921 47004139 329028973