Search a number
-
+
413232414 = 23753732543
BaseRepresentation
bin11000101000010…
…110110100011110
31001210120101022020
4120220112310132
51321241414124
6105001001010
713145263140
oct3050266436
91053511266
10413232414
111a22936a1
12b6483166
13677c552a
143cc4ac90
1526429379
hex18a16d1e

413232414 has 64 divisors (see below), whose sum is σ = 975919104. Its totient is φ = 114206976.

The previous prime is 413232409. The next prime is 413232427. The reversal of 413232414 is 414232314.

It is a super-2 number, since 2×4132324142 = 341522055960534792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161227 + ... + 163769.

It is an arithmetic number, because the mean of its divisors is an integer number (15248736).

Almost surely, 2413232414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487959552).

413232414 is an abundant number, since it is smaller than the sum of its proper divisors (562686690).

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

413232414 is a wasteful number, since it uses less digits than its factorization.

413232414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681.

The product of its digits is 2304, while the sum is 24.

The square root of 413232414 is about 20328.1188013057. The cubic root of 413232414 is about 744.8430905376.

Adding to 413232414 its reverse (414232314), we get a palindrome (827464728).

The spelling of 413232414 in words is "four hundred thirteen million, two hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 73 106 146 159 219 318 371 438 511 742 1022 1113 1533 2226 2543 3066 3869 5086 7629 7738 11607 15258 17801 23214 27083 35602 53403 54166 81249 106806 134779 162498 185639 269558 371278 404337 556917 808674 943453 1113834 1299473 1886906 2598946 2830359 3898419 5660718 7796838 9838867 19677734 29516601 59033202 68872069 137744138 206616207 413232414