Search a number
-
+
343597056 = 2133113141
BaseRepresentation
bin10100011110101…
…110000000000000
3212221112112112220
4110132232000000
51200430101211
654032251040
711341345455
oct2436560000
9787475486
10343597056
11166a51610
12970a0a80
135625398a
14338c182c
1520271806
hex147ae000

343597056 has 224 divisors, whose sum is σ = 1056900096. Its totient is φ = 98304000.

The previous prime is 343597031. The next prime is 343597091. The reversal of 343597056 is 650795343.

It is a junction number, because it is equal to n+sod(n) for n = 343596999 and 343597017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8380396 + ... + 8380436.

It is an arithmetic number, because the mean of its divisors is an integer number (4718304).

Almost surely, 2343597056 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 343597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528450048).

343597056 is an abundant number, since it is smaller than the sum of its proper divisors (713303040).

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

343597056 is a wasteful number, since it uses less digits than its factorization.

343597056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 343597056 is about 18536.3711658998. The cubic root of 343597056 is about 700.4059251056.

The spelling of 343597056 in words is "three hundred forty-three million, five hundred ninety-seven thousand, fifty-six".