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673120448 = 267211131979
BaseRepresentation
bin101000000111110…
…000000011000000
31201220121001122222
4220013300003000
52334304323243
6150443150212
722452300200
oct5007600300
91656531588
10673120448
11315a603a0
12169515368
13a95ba830
146557c400
153e163168
hex281f00c0

673120448 has 336 divisors, whose sum is σ = 1945843200. Its totient is φ = 226437120.

The previous prime is 673120403. The next prime is 673120451. The reversal of 673120448 is 844021376.

It is a super-2 number, since 2×6731204482 = 906182275031441408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8520473 + ... + 8520551.

It is an arithmetic number, because the mean of its divisors is an integer number (5791200).

Almost surely, 2673120448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972921600).

673120448 is an abundant number, since it is smaller than the sum of its proper divisors (1272722752).

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

673120448 is a wasteful number, since it uses less digits than its factorization.

673120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 673120448 is about 25944.5649028848. The cubic root of 673120448 is about 876.3903655540.

It can be divided in two parts, 673 and 120448, that added together give a palindrome (121121).

The spelling of 673120448 in words is "six hundred seventy-three million, one hundred twenty thousand, four hundred forty-eight".