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2024742349 = 71731938663
BaseRepresentation
bin111100010101111…
…0001110111001101
312020002220120100101
41320223301313031
513121313223344
6532525131101
7101114011630
oct17053616715
95202816311
102024742349
11949a06993
124860b9a91
1326362b1c6
14152c99c17
15bcb4d9d4
hex78af1dcd

2024742349 has 16 divisors (see below), whose sum is σ = 2339695872. Its totient is φ = 1716323328.

The previous prime is 2024742341. The next prime is 2024742367. The reversal of 2024742349 is 9432474202.

It is a cyclic number.

It is not a de Polignac number, because 2024742349 - 23 = 2024742341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024742341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229392 + ... + 238054.

It is an arithmetic number, because the mean of its divisors is an integer number (146230992).

Almost surely, 22024742349 is an apocalyptic number.

It is an amenable number.

2024742349 is a deficient number, since it is larger than the sum of its proper divisors (314953523).

2024742349 is a wasteful number, since it uses less digits than its factorization.

2024742349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036.

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 2024742349 is about 44997.1371200435. The cubic root of 2024742349 is about 1265.0953385732.

The spelling of 2024742349 in words is "two billion, twenty-four million, seven hundred forty-two thousand, three hundred forty-nine".

Divisors: 1 7 173 193 1211 1351 8663 33389 60641 233723 1498699 1671959 10490893 11703713 289248907 2024742349