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3144418340 = 225722460131
BaseRepresentation
bin1011101101101100…
…0000010000100100
322010010210000001112
42323123000100210
522414432341330
61240003444152
7140631054260
oct27333002044
98103700045
103144418340
111373a40048
12739086658
133b15aa98b
1421b87b0a0
151360be795
hexbb6c0424

3144418340 has 24 divisors (see below), whose sum is σ = 7546604352. Its totient is φ = 1078086240.

The previous prime is 3144418331. The next prime is 3144418349. The reversal of 3144418340 is 438144413.

It is an interprime number because it is at equal distance from previous prime (3144418331) and next prime (3144418349).

It is a junction number, because it is equal to n+sod(n) for n = 3144418297 and 3144418306.

It is not an unprimeable number, because it can be changed into a prime (3144418349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11229926 + ... + 11230205.

It is an arithmetic number, because the mean of its divisors is an integer number (314441848).

Almost surely, 23144418340 is an apocalyptic number.

It is an amenable number.

3144418340 is an abundant number, since it is smaller than the sum of its proper divisors (4402186012).

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

3144418340 is a wasteful number, since it uses less digits than its factorization.

3144418340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22460147 (or 22460145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 3144418340 is about 56075.1133748297. The cubic root of 3144418340 is about 1465.0308620662.

The spelling of 3144418340 in words is "three billion, one hundred forty-four million, four hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 22460131 44920262 89840524 112300655 157220917 224601310 314441834 449202620 628883668 786104585 1572209170 3144418340