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1673940480 = 2935317989
BaseRepresentation
bin110001111000110…
…0100111000000000
311022122210222122120
41203301210320000
511412012043410
6434034204240
756324154642
oct14361447000
94278728576
101673940480
11789994293
123a8723680
13208a54034
1411c460892
159be57570
hex63c64e00

1673940480 has 320 divisors, whose sum is σ = 5656780800. Its totient is φ = 421724160.

The previous prime is 1673940469. The next prime is 1673940481. The reversal of 1673940480 is 840493761.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1673940481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18808276 + ... + 18808364.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 21673940480 is an apocalyptic number.

1673940480 is a gapful number since it is divisible by the number (10) 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 1673940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828390400).

1673940480 is an abundant number, since it is smaller than the sum of its proper divisors (3982840320).

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

1673940480 is an equidigital number, since it uses as much as digits as its factorization.

1673940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1673940480 is about 40913.8177148014. The cubic root of 1673940480 is about 1187.3534102338.

The spelling of 1673940480 in words is "one billion, six hundred seventy-three million, nine hundred forty thousand, four hundred eighty".