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6854340 = 2235711609
BaseRepresentation
bin11010001001011011000100
3110220020101110
4122021123010
53223314330
6402525020
7112155333
oct32113304
913806343
106854340
113961849
122366770
13155cb2c
14ca5d1a
15905db0
hex6896c4

6854340 has 48 divisors (see below), whose sum is σ = 19474560. Its totient is φ = 1800960.

The previous prime is 6854333. The next prime is 6854347. The reversal of 6854340 is 434586.

It is an interprime number because it is at equal distance from previous prime (6854333) and next prime (6854347).

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 = 6854298 and 6854307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3456 + ... + 5064.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 26854340 is an apocalyptic number.

6854340 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 6854340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737280).

6854340 is an abundant number, since it is smaller than the sum of its proper divisors (12620220).

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

6854340 is a wasteful number, since it uses less digits than its factorization.

6854340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6854340 is about 2618.0794487563. The cubic root of 6854340 is about 189.9569616276.

The spelling of 6854340 in words is "six million, eight hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 1609 2130 3218 4260 4827 6436 8045 9654 16090 19308 24135 32180 48270 96540 114239 228478 342717 456956 571195 685434 1142390 1370868 1713585 2284780 3427170 6854340