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6313428 = 223211107149
BaseRepresentation
bin11000000101010111010100
3102212202101200
4120011113110
53104012203
6343152500
7104443332
oct30052724
912782350
106313428
113622410
122145730
131400874
14ba4b52
1584a9a3
hex6055d4

6313428 has 72 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1882560.

The previous prime is 6313427. The next prime is 6313451. The reversal of 6313428 is 8243136.

It is a happy number.

6313428 is a `hidden beast` number, since 631 + 3 + 4 + 28 = 666.

It is a super-2 number, since 2×63134282 = 79718746222368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313427) 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, 42298 + ... + 42446.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 26313428 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 6313428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

6313428 is an abundant number, since it is smaller than the sum of its proper divisors (11376972).

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

6313428 is a wasteful number, since it uses less digits than its factorization.

6313428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6313428 is about 2512.6535773958. The cubic root of 6313428 is about 184.8226008227.

The spelling of 6313428 in words is "six million, three hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 149 198 214 298 321 396 428 447 596 642 894 963 1177 1284 1341 1639 1788 1926 2354 2682 3278 3531 3852 4708 4917 5364 6556 7062 9834 10593 14124 14751 15943 19668 21186 29502 31886 42372 47829 59004 63772 95658 143487 175373 191316 286974 350746 526119 573948 701492 1052238 1578357 2104476 3156714 6313428