Search a number
-
+
414204340 = 225111882747
BaseRepresentation
bin11000101100000…
…100000110110100
31001212101202112111
4120230010012310
51322014014330
6105033500404
713156451554
oct3054040664
91055352474
10414204340
111a2897940
12b6871704
1367a75a34
143d021164
152656c32a
hex18b041b4

414204340 has 24 divisors (see below), whose sum is σ = 948904992. Its totient is φ = 150619680.

The previous prime is 414204331. The next prime is 414204359. The reversal of 414204340 is 43402414.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941154 + ... + 941593.

It is an arithmetic number, because the mean of its divisors is an integer number (39537708).

Almost surely, 2414204340 is an apocalyptic number.

It is an amenable number.

414204340 is an abundant number, since it is smaller than the sum of its proper divisors (534700652).

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

414204340 is a wasteful number, since it uses less digits than its factorization.

414204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882767 (or 1882765 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 414204340 is about 20352.0107114752. The cubic root of 414204340 is about 745.4265923126.

Adding to 414204340 its reverse (43402414), we get a palindrome (457606754).

The spelling of 414204340 in words is "four hundred fourteen million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1882747 3765494 7530988 9413735 18827470 20710217 37654940 41420434 82840868 103551085 207102170 414204340