Search a number
-
+
414404430 = 235112114161
BaseRepresentation
bin11000101100110…
…100111101001110
31001212202221000020
4120230310331032
51322041420210
6105042043010
713161244116
oct3054647516
91055687006
10414404430
111a2a14200
12b6949466
1367b15b2b
143d074046
15265ab770
hex18b34f4e

414404430 has 48 divisors (see below), whose sum is σ = 1093215312. Its totient is φ = 100460800.

The previous prime is 414404413. The next prime is 414404489. The reversal of 414404430 is 34404414.

It is a self number, because there is not a number n which added to its sum of digits gives 414404430.

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, 53451 + ... + 60710.

It is an arithmetic number, because the mean of its divisors is an integer number (22775319).

Almost surely, 2414404430 is an apocalyptic number.

414404430 is an abundant number, since it is smaller than the sum of its proper divisors (678810882).

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

414404430 is a wasteful number, since it uses less digits than its factorization.

414404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114193 (or 114182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414404430 is about 20356.9258484674. The cubic root of 414404430 is about 745.5466042502.

Adding to 414404430 its reverse (34404414), we get a palindrome (448808844).

The spelling of 414404430 in words is "four hundred fourteen million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 114161 228322 342483 570805 684966 1141610 1255771 1712415 2511542 3424830 3767313 6278855 7534626 12557710 13813481 18836565 27626962 37673130 41440443 69067405 82880886 138134810 207202215 414404430