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2352340000 = 2554117617
BaseRepresentation
bin1000110000110101…
…1101110000100000
320001221100020211201
42030031131300200
514304144340000
61025230450544
7112202363053
oct21415356040
96057306751
102352340000
11aa791a94a
12557963a54
132b646c67a
141845b4a9a
15db7ae96a
hex8c35dc20

2352340000 has 60 divisors (see below), whose sum is σ = 5787158454. Its totient is φ = 940928000.

The previous prime is 2352339947. The next prime is 2352340063. The reversal of 2352340000 is 432532.

It can be written as a sum of positive squares in 5 ways, for example, as 176677264 + 2175662736 = 13292^2 + 46644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2352340000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38809 + ... + 78808.

Almost surely, 22352340000 is an apocalyptic number.

2352340000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2352340000 is an abundant number, since it is smaller than the sum of its proper divisors (3434818454).

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

2352340000 is an equidigital number, since it uses as much as digits as its factorization.

2352340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117647 (or 117624 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2352340000 is about 48500.9278261767. The cubic root of 2352340000 is about 1329.9440306596.

Adding to 2352340000 its reverse (432532), we get a palindrome (2352772532).

The spelling of 2352340000 in words is "two billion, three hundred fifty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 117617 235234 470468 588085 940936 1176170 1881872 2352340 2940425 3763744 4704680 5880850 9409360 11761700 14702125 18818720 23523400 29404250 47046800 58808500 73510625 94093600 117617000 147021250 235234000 294042500 470468000 588085000 1176170000 2352340000