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673376256 = 21132717307
BaseRepresentation
bin101000001000101…
…110100000000000
31201221002001120100
4220020232200000
52334341020011
6150452442400
722454414040
oct5010564000
91657061510
10673376256
11316115603
12169619400
13a967a0b7
1465607720
153e1b3d56
hex2822e800

673376256 has 288 divisors, whose sum is σ = 2361078720. Its totient is φ = 180486144.

The previous prime is 673376233. The next prime is 673376257. The reversal of 673376256 is 652673376.

673376256 is a `hidden beast` number, since 67 + 337 + 6 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (952560) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (673376257) 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, 2193255 + ... + 2193561.

It is an arithmetic number, because the mean of its divisors is an integer number (8198190).

Almost surely, 2673376256 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 673376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180539360).

673376256 is an abundant number, since it is smaller than the sum of its proper divisors (1687702464).

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

673376256 is a wasteful number, since it uses less digits than its factorization.

673376256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 673376256 is about 25949.4943303333. The cubic root of 673376256 is about 876.5013705872.

The spelling of 673376256 in words is "six hundred seventy-three million, three hundred seventy-six thousand, two hundred fifty-six".