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6340992 = 27372337
BaseRepresentation
bin11000001100000110000000
3102221011012120
4120030012000
53110402432
6343524240
7104616600
oct30140600
912834176
106340992
113641099
122159680
131410288
14bb0c00
15853c2c
hex60c180

6340992 has 96 divisors (see below), whose sum is σ = 19651320. Its totient is φ = 1806336.

The previous prime is 6340963. The next prime is 6341039. The reversal of 6340992 is 2990436.

6340992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18648 + ... + 18984.

Almost surely, 26340992 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 6340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825660).

6340992 is an abundant number, since it is smaller than the sum of its proper divisors (13310328).

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

6340992 is a wasteful number, since it uses less digits than its factorization.

6340992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 6340992 is about 2518.1326414627. The cubic root of 6340992 is about 185.0911846566.

The spelling of 6340992 in words is "six million, three hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 337 384 392 448 588 672 674 784 896 1011 1176 1344 1348 1568 2022 2352 2359 2688 2696 3136 4044 4704 4718 5392 6272 7077 8088 9408 9436 10784 14154 16176 16513 18816 18872 21568 28308 32352 33026 37744 43136 49539 56616 64704 66052 75488 99078 113232 129408 132104 150976 198156 226464 264208 301952 396312 452928 528416 792624 905856 1056832 1585248 2113664 3170496 6340992