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3002400345 = 357171682017
BaseRepresentation
bin1011001011110100…
…1111111001011001
321202020112201222210
42302331033321121
522122103302340
61213531505333
7134254660530
oct26275177131
97666481883
103002400345
11130085a8aa
126b95b8249
1338b044c69
14206a6d317
151288ba180
hexb2f4fe59

3002400345 has 32 divisors (see below), whose sum is σ = 5813054208. Its totient is φ = 1291788288.

The previous prime is 3002400343. The next prime is 3002400353. The reversal of 3002400345 is 5430042003.

It is a happy number.

It is not a de Polignac number, because 3002400345 - 21 = 3002400343 is a prime.

It is a super-2 number, since 2×30024003452 = 18028815663312238050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3002400341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839224 + ... + 842793.

It is an arithmetic number, because the mean of its divisors is an integer number (181657944).

Almost surely, 23002400345 is an apocalyptic number.

3002400345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3002400345 is a deficient number, since it is larger than the sum of its proper divisors (2810653863).

3002400345 is a wasteful number, since it uses less digits than its factorization.

3002400345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682049.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3002400345 is about 54794.1634209338. The cubic root of 3002400345 is about 1442.6341229352.

Adding to 3002400345 its reverse (5430042003), we get a palindrome (8432442348).

The spelling of 3002400345 in words is "three billion, two million, four hundred thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 1682017 5046051 8410085 11774119 25230255 28594289 35322357 58870595 85782867 142971445 176611785 200160023 428914335 600480069 1000800115 3002400345