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419430 = 235113141
BaseRepresentation
bin1100110011001100110
3210022100110
41212121212
5101410210
612553450
73364554
oct1463146
9708313
10419430
11267140
12182886
13118bab
14acbd4
1584420
hex66666

419430 has 64 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 96000.

The previous prime is 419429. The next prime is 419443. The reversal of 419430 is 34914.

419430 is nontrivially palindromic in base 16.

419430 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

419430 is an undulating number in base 4.

It is a Curzon number.

419430 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 419397 and 419406.

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, 10210 + ... + 10250.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2419430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

419430 is an abundant number, since it is smaller than the sum of its proper divisors (741786).

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

419430 is a wasteful number, since it uses less digits than its factorization.

419430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 419430 is about 647.6341559862. The cubic root of 419430 is about 74.8548303025.

It can be divided in two parts, 4194 and 30, that added together give a palindrome (4224).

The spelling of 419430 in words is "four hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 41 55 62 66 82 93 110 123 155 165 186 205 246 310 330 341 410 451 465 615 682 902 930 1023 1230 1271 1353 1705 2046 2255 2542 2706 3410 3813 4510 5115 6355 6765 7626 10230 12710 13530 13981 19065 27962 38130 41943 69905 83886 139810 209715 419430