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419258340 = 223252329213
BaseRepresentation
bin11000111111010…
…101111111100100
31002012220112022200
4120333111333210
51324312231330
6105334054500
713250431344
oct3077257744
91065815280
10419258340
111a5729aa6
12b84aa430
1368b25277
143d978d24
1526c19a60
hex18fd5fe4

419258340 has 36 divisors (see below), whose sum is σ = 1271750844. Its totient is φ = 111802176.

The previous prime is 419258327. The next prime is 419258381. The reversal of 419258340 is 43852914.

It can be written as a sum of positive squares in 2 ways, for example, as 174398436 + 244859904 = 13206^2 + 15648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 419258295 and 419258304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1164427 + ... + 1164786.

Almost surely, 2419258340 is an apocalyptic number.

It is an amenable number.

419258340 is an abundant number, since it is smaller than the sum of its proper divisors (852492504).

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

419258340 is a wasteful number, since it uses less digits than its factorization.

419258340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329228 (or 2329223 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 419258340 is about 20475.7988855136. The cubic root of 419258340 is about 748.4461697050.

The spelling of 419258340 in words is "four hundred nineteen million, two hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2329213 4658426 6987639 9316852 11646065 13975278 20962917 23292130 27950556 34938195 41925834 46584260 69876390 83851668 104814585 139752780 209629170 419258340