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413830328034 = 232315719100449
BaseRepresentation
bin1100000010110100011…
…01011010111011100010
31110120011112202211101110
412001122031122323202
523240011030444114
6514035552044150
741620046515044
oct6013215327342
91416145684343
10413830328034
1114a560482572
1268252b33656
1330040a512b6
141605ad0da94
15ab70bb3759
hex605a35aee2

413830328034 has 32 divisors (see below), whose sum is σ = 869146876800. Its totient is φ = 131105475072.

The previous prime is 413830328027. The next prime is 413830328071. The reversal of 413830328034 is 430823038314.

It is a junction number, because it is equal to n+sod(n) for n = 413830327983 and 413830328001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9528559 + ... + 9571890.

It is an arithmetic number, because the mean of its divisors is an integer number (27160839900).

Almost surely, 2413830328034 is an apocalyptic number.

413830328034 is an abundant number, since it is smaller than the sum of its proper divisors (455316548766).

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

413830328034 is a wasteful number, since it uses less digits than its factorization.

413830328034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100634.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 413830328034 in words is "four hundred thirteen billion, eight hundred thirty million, three hundred twenty-eight thousand, thirty-four".

Divisors: 1 2 3 6 23 46 69 138 157 314 471 942 3611 7222 10833 21666 19100449 38200898 57301347 114602694 439310327 878620654 1317930981 2635861962 2998770493 5997540986 8996311479 17992622958 68971721339 137943442678 206915164017 413830328034