Search a number
-
+
2340344006 = 2711213106273
BaseRepresentation
bin1000101101111110…
…1101000011000110
320001002202210102122
42023133231003012
514243112002011
61024121405542
7111665411240
oct21337550306
96032683378
102340344006
11aa1077100
125539398b2
132b3b2c450
14182b71090
15da6e03db
hex8b7ed0c6

2340344006 has 48 divisors (see below), whose sum is σ = 4749172512. Its totient is φ = 841674240.

The previous prime is 2340343997. The next prime is 2340344021. The reversal of 2340344006 is 6004430432.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 23 ways as a sum of consecutive naturals, for example, 31115 + ... + 75158.

It is an arithmetic number, because the mean of its divisors is an integer number (98941094).

Almost surely, 22340344006 is an apocalyptic number.

2340344006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2340344006 is an abundant number, since it is smaller than the sum of its proper divisors (2408828506).

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

2340344006 is a wasteful number, since it uses less digits than its factorization.

2340344006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106317 (or 106306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2340344006 is about 48377.1020835271. The cubic root of 2340344006 is about 1327.6794490964.

Adding to 2340344006 its reverse (6004430432), we get a palindrome (8344774438).

The spelling of 2340344006 in words is "two billion, three hundred forty million, three hundred forty-four thousand, six".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 106273 212546 743911 1169003 1381549 1487822 2338006 2763098 8183021 9670843 12859033 15197039 16366042 19341686 25718066 30394078 90013231 106379273 167167429 180026462 212758546 334334858 1170172003 2340344006