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6294073344 = 21231331241
BaseRepresentation
bin1011101110010011…
…11111000000000000
3121020122102001110120
411313021333000000
5100342240321334
62520315500240
7311654512026
oct56711770000
917218361416
106294073344
11273a927509
121277a57680
13793ca0070
14439cbc716
1526c875949
hex17727f000

6294073344 has 312 divisors, whose sum is σ = 19130375376. Its totient is φ = 1828454400.

The previous prime is 6294073343. The next prime is 6294073351. The reversal of 6294073344 is 4433704926.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 6294073296 and 6294073305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6294073343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153513964 + ... + 153514004.

Almost surely, 26294073344 is an apocalyptic number.

6294073344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6294073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565187688).

6294073344 is an abundant number, since it is smaller than the sum of its proper divisors (12836302032).

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

6294073344 is a wasteful number, since it uses less digits than its factorization.

6294073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 6294073344 is about 79335.1961237886. The cubic root of 6294073344 is about 1846.3354138005.

The spelling of 6294073344 in words is "six billion, two hundred ninety-four million, seventy-three thousand, three hundred forty-four".