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6980346 = 2323747223
BaseRepresentation
bin11010101000001011111010
3111010122020100
4122220023322
53241332341
6405340230
7113221602
oct32501372
914118210
106980346
113a3848a
122407676
1315a52a9
14cd9c02
1592d3b6
hex6a82fa

6980346 has 48 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 2205792.

The previous prime is 6980341. The next prime is 6980357. The reversal of 6980346 is 6430896.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6980346.

It is not an unprimeable number, because it can be changed into a prime (6980341) 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, 31191 + ... + 31413.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 26980346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6980346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232).

6980346 is an abundant number, since it is smaller than the sum of its proper divisors (8954118).

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

6980346 is a wasteful number, since it uses less digits than its factorization.

6980346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6980346 is about 2642.0344433788. The cubic root of 6980346 is about 191.1139183180.

The spelling of 6980346 in words is "six million, nine hundred eighty thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 223 282 333 423 446 666 669 846 1338 1739 2007 3478 4014 5217 8251 10434 10481 15651 16502 20962 24753 31302 31443 49506 62886 74259 94329 148518 188658 387797 775594 1163391 2326782 3490173 6980346