Search a number
-
+
6377340 = 2235157677
BaseRepresentation
bin11000010100111101111100
3110000000001210
4120110331330
53113033330
6344404420
7105130554
oct30247574
913000053
106377340
113666432
122176710
131423998
14bc0164
1585e8b0
hex614f7c

6377340 has 48 divisors (see below), whose sum is σ = 17996832. Its totient is φ = 1687296.

The previous prime is 6377339. The next prime is 6377389. The reversal of 6377340 is 437736.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6377298 and 6377307.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9082 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (374934).

Almost surely, 26377340 is an apocalyptic number.

6377340 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 6377340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8998416).

6377340 is an abundant number, since it is smaller than the sum of its proper divisors (11619492).

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

6377340 is a wasteful number, since it uses less digits than its factorization.

6377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 6377340 is about 2525.3395811257. The cubic root of 6377340 is about 185.4441725525. Note that the first 3 decimals are identical.

The spelling of 6377340 in words is "six million, three hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 677 785 942 1354 1570 1884 2031 2355 2708 3140 3385 4062 4710 6770 8124 9420 10155 13540 20310 40620 106289 212578 318867 425156 531445 637734 1062890 1275468 1594335 2125780 3188670 6377340