Search a number
-
+
1682466324 = 2237114189499
BaseRepresentation
bin110010001001000…
…0110011000010100
311100020212010220120
41210102012120110
511421202410244
6434541031540
756456504430
oct14422063024
94306763816
101682466324
11793787940
123ab5555b0
1320a74a906
1411d63d9c0
159ca8d819
hex64486614

1682466324 has 192 divisors, whose sum is σ = 5080320000. Its totient is φ = 420710400.

The previous prime is 1682466281. The next prime is 1682466337. The reversal of 1682466324 is 4236642861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3371427 + ... + 3371925.

It is an arithmetic number, because the mean of its divisors is an integer number (26460000).

Almost surely, 21682466324 is an apocalyptic number.

1682466324 is a gapful number since it is divisible by the number (14) 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 1682466324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160000).

1682466324 is an abundant number, since it is smaller than the sum of its proper divisors (3397853676).

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

1682466324 is a wasteful number, since it uses less digits than its factorization.

1682466324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 652 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 1682466324 is about 41017.8781021154. The cubic root of 1682466324 is about 1189.3658377557.

The spelling of 1682466324 in words is "one billion, six hundred eighty-two million, four hundred sixty-six thousand, three hundred twenty-four".