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438544340 = 225134633643
BaseRepresentation
bin11010001000111…
…010011111010100
31010120012100201222
4122020322133110
51344231404330
6111303305512
713603364633
oct3210723724
91116170658
10438544340
11205601943
12102a4b298
136cb186c0
144235951a
15287790e5
hex1a23a7d4

438544340 has 48 divisors (see below), whose sum is σ = 994199808. Its totient is φ = 161529984.

The previous prime is 438544303. The next prime is 438544343. The reversal of 438544340 is 43445834.

It is a super-2 number, since 2×4385443402 = 384642276292071200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 438544340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438544343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118559 + ... + 122201.

It is an arithmetic number, because the mean of its divisors is an integer number (20712496).

Almost surely, 2438544340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497099904).

438544340 is an abundant number, since it is smaller than the sum of its proper divisors (555655468).

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

438544340 is a wasteful number, since it uses less digits than its factorization.

438544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 438544340 is about 20941.4502840658. The cubic root of 438544340 is about 759.7508070372.

The spelling of 438544340 in words is "four hundred thirty-eight million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 463 926 1852 2315 3643 4630 6019 7286 9260 12038 14572 18215 24076 30095 36430 47359 60190 72860 94718 120380 189436 236795 473590 947180 1686709 3373418 6746836 8433545 16867090 21927217 33734180 43854434 87708868 109636085 219272170 438544340