Search a number
-
+
343190016 = 29321317337
BaseRepresentation
bin10100011101001…
…010101000000000
3212220202212012100
4110131022220000
51200324040031
654015430400
711335031661
oct2435125000
9786685170
10343190016
111667a3814
1296b25400
1356140620
1433817368
15201e0de6
hex1474aa00

343190016 has 240 divisors, whose sum is σ = 1132755624. Its totient is φ = 99090432.

The previous prime is 343189997. The next prime is 343190017. The reversal of 343190016 is 610091343.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 96825600 = 15696^2 + 9840^2 .

It is not an unprimeable number, because it can be changed into a prime (343190017) 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, 1018200 + ... + 1018536.

Almost surely, 2343190016 is an apocalyptic number.

343190016 is a gapful number since it is divisible by the number (36) 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 343190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566377812).

343190016 is an abundant number, since it is smaller than the sum of its proper divisors (789565608).

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

343190016 is a wasteful number, since it uses less digits than its factorization.

343190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 343190016 is about 18525.3884169806. The cubic root of 343190016 is about 700.1292387226.

The spelling of 343190016 in words is "three hundred forty-three million, one hundred ninety thousand, sixteen".