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1674242304 = 28371937443
BaseRepresentation
bin110001111001010…
…1110100100000000
311022200101022200020
41203302232210000
511412101223204
6434044453440
756326552620
oct14362564400
94280338606
101674242304
1178a080029
123a884a280
13208b2b527
1411c4dc880
159beb6bd9
hex63cae900

1674242304 has 288 divisors, whose sum is σ = 5517818880. Its totient is φ = 439934976.

The previous prime is 1674242303. The next prime is 1674242309. The reversal of 1674242304 is 4032424761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674242303) 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 31 ways as a sum of consecutive naturals, for example, 3779107 + ... + 3779549.

Almost surely, 21674242304 is an apocalyptic number.

1674242304 is a gapful number since it is divisible by the number (14) 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 1674242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758909440).

1674242304 is an abundant number, since it is smaller than the sum of its proper divisors (3843576576).

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

1674242304 is a wasteful number, since it uses less digits than its factorization.

1674242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 1674242304 is about 40917.5060823604. The cubic root of 1674242304 is about 1187.4247688481.

The spelling of 1674242304 in words is "one billion, six hundred seventy-four million, two hundred forty-two thousand, three hundred four".