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329187430 = 2511132111091
BaseRepresentation
bin10011100111110…
…000000001100110
3211221102110021001
4103213300001212
51133232444210
652355343514
711105022055
oct2347600146
9757373231
10329187430
111598aa430
12922b1b9a
1353279c80
1431a1039c
151dd7703a
hex139f0066

329187430 has 64 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 109872000.

The previous prime is 329187413. The next prime is 329187433. The reversal of 329187430 is 34781923.

It is a self number, because there is not a number n which added to its sum of digits gives 329187430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329187433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301185 + ... + 302275.

It is an arithmetic number, because the mean of its divisors is an integer number (10938564).

Almost surely, 2329187430 is an apocalyptic number.

329187430 is an abundant number, since it is smaller than the sum of its proper divisors (370880666).

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

329187430 is a wasteful number, since it uses less digits than its factorization.

329187430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 329187430 is about 18143.5230867657. The cubic root of 329187430 is about 690.4746646423.

The spelling of 329187430 in words is "three hundred twenty-nine million, one hundred eighty-seven thousand, four hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 211 286 422 715 1055 1091 1430 2110 2182 2321 2743 4642 5455 5486 10910 11605 12001 13715 14183 23210 24002 27430 28366 30173 60005 60346 70915 120010 141830 150865 156013 230201 301730 312026 460402 780065 1151005 1560130 2302010 2532211 2992613 5064422 5985226 12661055 14963065 25322110 29926130 32918743 65837486 164593715 329187430