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344314434200 = 235211156506561
BaseRepresentation
bin1010000001010101011…
…11010101001010011000
31012220201212100112022212
411000222233111022120
521120123443343300
6422101553134252
733606301254452
oct5005257251230
91186655315285
10344314434200
11123028581640
125689225a388
13266129b55c9
14129447132d2
158e52d2b935
hex502abd5298

344314434200 has 48 divisors (see below), whose sum is σ = 873306615960. Its totient is φ = 125205248000.

The previous prime is 344314434197. The next prime is 344314434229. The reversal of 344314434200 is 2434413443.

It is a super-2 number, since 2×3443144342002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78251081 + ... + 78255480.

Almost surely, 2344314434200 is an apocalyptic number.

It is an amenable number.

344314434200 is an abundant number, since it is smaller than the sum of its proper divisors (528992181760).

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

344314434200 is a wasteful number, since it uses less digits than its factorization.

344314434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156506588 (or 156506579 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 344314434200 its reverse (2434413443), we get a palindrome (346748847643).

The spelling of 344314434200 in words is "three hundred forty-four billion, three hundred fourteen million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 156506561 313013122 626026244 782532805 1252052488 1565065610 1721572171 3130131220 3443144342 3912664025 6260262440 6886288684 7825328050 8607860855 13772577368 15650656100 17215721710 31301312200 34431443420 43039304275 68862886840 86078608550 172157217100 344314434200