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2342419920 = 243253253361
BaseRepresentation
bin1000101110011110…
…0111110111010000
320001020200021001100
42023213213313100
514244124414140
61024234104400
7112022145411
oct21347476720
96036607040
102342419920
11aa2264835
1255457b100
132b43a82b9
14183151808
15da9a0530
hex8b9e7dd0

2342419920 has 60 divisors (see below), whose sum is σ = 7866629316. Its totient is φ = 624645120.

The previous prime is 2342419907. The next prime is 2342419927. The reversal of 2342419920 is 299142432.

2342419920 is a `hidden beast` number, since 23 + 424 + 199 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 535829904 + 1806590016 = 23148^2 + 42504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×23424199202 = 10973862163225612800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342419927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1625961 + ... + 1627400.

Almost surely, 22342419920 is an apocalyptic number.

2342419920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342419920 is an abundant number, since it is smaller than the sum of its proper divisors (5524209396).

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

2342419920 is a wasteful number, since it uses less digits than its factorization.

2342419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253380 (or 3253371 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2342419920 is about 48398.5528709279. The cubic root of 2342419920 is about 1328.0718891020.

The spelling of 2342419920 in words is "two billion, three hundred forty-two million, four hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3253361 6506722 9760083 13013444 16266805 19520166 26026888 29280249 32533610 39040332 48800415 52053776 58560498 65067220 78080664 97600830 117120996 130134440 146401245 156161328 195201660 234241992 260268880 292802490 390403320 468483984 585604980 780806640 1171209960 2342419920