Search a number
-
+
673401600 = 283552433
BaseRepresentation
bin101000001000110…
…100101100000000
31201221010100100000
4220020310230000
52334342322400
6150453200000
722454550654
oct5010645400
91657110300
10673401600
11316132653
12169630000
13a96887b1
1465612a64
153e1bb600
hex28234b00

673401600 has 324 divisors, whose sum is σ = 2502497816. Its totient is φ = 179159040.

The previous prime is 673401593. The next prime is 673401649. The reversal of 673401600 is 6104376.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554984 + ... + 1555416.

Almost surely, 2673401600 is an apocalyptic number.

673401600 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 673401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251248908).

673401600 is an abundant number, since it is smaller than the sum of its proper divisors (1829096216).

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

673401600 is an equidigital number, since it uses as much as digits as its factorization.

673401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 673401600 is about 25949.9826589537. The cubic root of 673401600 is about 876.5123668031.

Adding to 673401600 its reverse (6104376), we get a palindrome (679505976).

The spelling of 673401600 in words is "six hundred seventy-three million, four hundred one thousand, six hundred".