Search a number
-
+
340322796 = 2234111741137
BaseRepresentation
bin10100010010001…
…110100111101100
3212201101012010000
4110102032213230
51144110312141
653434144300
711301460512
oct2422164754
9781335100
10340322796
11165115610
1295b82090
1355678548
14332ac4b2
151ed265b6
hex1448e9ec

340322796 has 240 divisors, whose sum is σ = 1060389792. Its totient is φ = 94003200.

The previous prime is 340322791. The next prime is 340322849. The reversal of 340322796 is 697223043.

It is a happy number.

340322796 is a `hidden beast` number, since 340 + 3 + 227 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340322796.

It is not an unprimeable number, because it can be changed into a prime (340322791) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2484040 + ... + 2484176.

Almost surely, 2340322796 is an apocalyptic number.

340322796 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 340322796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530194896).

340322796 is an abundant number, since it is smaller than the sum of its proper divisors (720066996).

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

340322796 is a wasteful number, since it uses less digits than its factorization.

340322796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 340322796 is about 18447.8398735462. The cubic root of 340322796 is about 698.1740137511.

The spelling of 340322796 in words is "three hundred forty million, three hundred twenty-two thousand, seven hundred ninety-six".