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413471340 = 223257132353
BaseRepresentation
bin11000101001010…
…001001001101100
31001211000112001100
4120221101021230
51321322040330
6105010043100
713150306542
oct3051211154
91054015040
10413471340
111a2437157
12b6579490
136787a1c9
143ccadd92
1526475060
hex18a5126c

413471340 has 72 divisors (see below), whose sum is σ = 1271900448. Its totient is φ = 108702720.

The previous prime is 413471323. The next prime is 413471341. The reversal of 413471340 is 43174314.

It is not an unprimeable number, because it can be changed into a prime (413471341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397 + ... + 28956.

It is an arithmetic number, because the mean of its divisors is an integer number (17665284).

Almost surely, 2413471340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413471340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635950224).

413471340 is an abundant number, since it is smaller than the sum of its proper divisors (858429108).

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

413471340 is a wasteful number, since it uses less digits than its factorization.

413471340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32439 (or 32434 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413471340 is about 20333.9946886980. The cubic root of 413471340 is about 744.9866159780.

The spelling of 413471340 in words is "four hundred thirteen million, four hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 32353 64706 97059 129412 161765 194118 291177 323530 388236 485295 582354 647060 970590 1164708 1455885 1941180 2297063 2911770 4594126 5823540 6891189 9188252 11485315 13782378 20673567 22970630 27564756 34455945 41347134 45941260 68911890 82694268 103367835 137823780 206735670 413471340