Search a number
-
+
674622000 = 24335313312
BaseRepresentation
bin101000001101011…
…110101000110000
31202000102100102000
4220031132220300
52340200401000
6150535254000
722501122663
oct5015365060
91660370360
10674622000
11316896548
12169b1a300
13a99c5120
146584d6da
153e35d000
hex2835ea30

674622000 has 480 divisors, whose sum is σ = 2689202880. Its totient is φ = 160704000.

The previous prime is 674621963. The next prime is 674622007. The reversal of 674622000 is 226476.

It is a super-2 number, since 2×6746220002 = 910229685768000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (674622007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21761985 + ... + 21762015.

It is an arithmetic number, because the mean of its divisors is an integer number (5602506).

Almost surely, 2674622000 is an apocalyptic number.

674622000 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 674622000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344601440).

674622000 is an abundant number, since it is smaller than the sum of its proper divisors (2014580880).

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

674622000 is a wasteful number, since it uses less digits than its factorization.

674622000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 674622000 is about 25973.4864814102. The cubic root of 674622000 is about 877.0415458953.

Adding to 674622000 its reverse (226476), we get a palindrome (674848476).

The spelling of 674622000 in words is "six hundred seventy-four million, six hundred twenty-two thousand".