Search a number
-
+
340871040 = 27325233183
BaseRepresentation
bin10100010100010…
…100011110000000
3212202102001011100
4110110110132000
51144230333130
653454014400
711306233056
oct2424243600
9782361140
10340871040
1116545a504
12961a7400
135580ac53
14333b21d6
151edd3c60
hex14514780

340871040 has 384 divisors, whose sum is σ = 1283143680. Its totient is φ = 83128320.

The previous prime is 340870997. The next prime is 340871081. The reversal of 340871040 is 40178043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 340870995 and 340871013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106839 + ... + 4106921.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2340871040 is an apocalyptic number.

340871040 is a gapful number since it is divisible by the number (30) 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 340871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

340871040 is an abundant number, since it is smaller than the sum of its proper divisors (942272640).

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

340871040 is a wasteful number, since it uses less digits than its factorization.

340871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 340871040 is about 18462.6931946561. The cubic root of 340871040 is about 698.5487210985.

The spelling of 340871040 in words is "three hundred forty million, eight hundred seventy-one thousand, forty".