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6338340 = 22325231531
BaseRepresentation
bin11000001011011100100100
3102221000120100
4120023130210
53110311330
6343504100
7104606061
oct30133444
912830510
106338340
11363a0a8
122158030
13140bcc8
14badc68
15853060
hex60b724

6338340 has 72 divisors (see below), whose sum is σ = 20075328. Its totient is φ = 1615680.

The previous prime is 6338333. The next prime is 6338347. The reversal of 6338340 is 438336.

It is an interprime number because it is at equal distance from previous prime (6338333) and next prime (6338347).

It is not an unprimeable number, because it can be changed into a prime (6338347) 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, 3375 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (278824).

Almost surely, 26338340 is an apocalyptic number.

6338340 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 6338340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037664).

6338340 is an abundant number, since it is smaller than the sum of its proper divisors (13736988).

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

6338340 is a wasteful number, since it uses less digits than its factorization.

6338340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6338340 is about 2517.6060057126. The cubic root of 6338340 is about 185.0653774291.

The spelling of 6338340 in words is "six million, three hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 1531 2070 3062 4140 4593 6124 7655 9186 13779 15310 18372 22965 27558 30620 35213 45930 55116 68895 70426 91860 105639 137790 140852 176065 211278 275580 316917 352130 422556 528195 633834 704260 1056390 1267668 1584585 2112780 3169170 6338340