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1290342417 = 371321112239
BaseRepresentation
bin100110011101001…
…0001000000010001
310022221000012000220
41030322101000101
510120311424132
6332012303253
743655505150
oct11472210021
93287005026
101290342417
116024013a1
12300171b29
13177436230
14c3529597
1578433a2c
hex4ce91011

1290342417 has 32 divisors (see below), whose sum is σ = 2119434240. Its totient is φ = 679993920.

The previous prime is 1290342401. The next prime is 1290342457. The reversal of 1290342417 is 7142430921.

It is not a de Polignac number, because 1290342417 - 24 = 1290342401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1290342457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575184 + ... + 577422.

It is an arithmetic number, because the mean of its divisors is an integer number (66232320).

Almost surely, 21290342417 is an apocalyptic number.

It is an amenable number.

1290342417 is a deficient number, since it is larger than the sum of its proper divisors (829091823).

1290342417 is a wasteful number, since it uses less digits than its factorization.

1290342417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1290342417 is about 35921.3365146677. The cubic root of 1290342417 is about 1088.6835429616.

The spelling of 1290342417 in words is "one billion, two hundred ninety million, three hundred forty-two thousand, four hundred seventeen".

Divisors: 1 3 7 13 21 39 91 273 2111 2239 6333 6717 14777 15673 27443 29107 44331 47019 82329 87321 192101 203749 576303 611247 4726529 14179587 33085703 61444877 99257109 184334631 430114139 1290342417