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673097040 = 243457111971
BaseRepresentation
bin101000000111101…
…010010101010000
31201220112212120000
4220013222111100
52334303101130
6150442450000
722452142020
oct5007522520
91656485500
10673097040
11315a44850
12169503900
13a95acc95
1465573a80
153e15b260
hex281ea550

673097040 has 800 divisors, whose sum is σ = 3111229440. Its totient is φ = 130636800.

The previous prime is 673097039. The next prime is 673097053. The reversal of 673097040 is 40790376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 673096986 and 673097004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9480205 + ... + 9480275.

Almost surely, 2673097040 is an apocalyptic number.

673097040 is a gapful number since it is divisible by the number (60) 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 673097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555614720).

673097040 is an abundant number, since it is smaller than the sum of its proper divisors (2438132400).

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

673097040 is a wasteful number, since it uses less digits than its factorization.

673097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 673097040 is about 25944.1137832843. The cubic root of 673097040 is about 876.3802065086.

The spelling of 673097040 in words is "six hundred seventy-three million, ninety-seven thousand, forty".