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413034102 = 232135929917
BaseRepresentation
bin11000100111100…
…110011001110110
31001210012022021100
4120213212121312
51321214042402
6104552430530
713143506025
oct3047463166
91053168240
10413034102
111a21686a8
12b63a8446
13677561a0
143cbd88bc
15263da71c
hex189e6676

413034102 has 48 divisors (see below), whose sum is σ = 980113680. Its totient is φ = 124929216.

The previous prime is 413034079. The next prime is 413034121. The reversal of 413034102 is 201430314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153 + ... + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (20419035).

Almost surely, 2413034102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413034102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490056840).

413034102 is an abundant number, since it is smaller than the sum of its proper divisors (567079578).

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

413034102 is a wasteful number, since it uses less digits than its factorization.

413034102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29997 (or 29994 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413034102 is about 20323.2404404416. The cubic root of 413034102 is about 744.7239203456.

Adding to 413034102 its reverse (201430314), we get a palindrome (614464416).

The spelling of 413034102 in words is "four hundred thirteen million, thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4602 6903 13806 29917 59834 89751 179502 269253 388921 538506 777842 1166763 1765103 2333526 3500289 3530206 5295309 7000578 10590618 15885927 22946339 31771854 45892678 68839017 137678034 206517051 413034102