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343130040 = 2333511171699
BaseRepresentation
bin10100011100111…
…011111110111000
3212220122210221000
4110130323332320
51200320130130
654014245000
711334362061
oct2434737670
9786583830
10343130040
11166762750
1296ab6760
135611c236
14337dd568
15201cd260
hex1473bfb8

343130040 has 256 divisors, whose sum is σ = 1321920000. Its totient is φ = 78243840.

The previous prime is 343130009. The next prime is 343130071. The reversal of 343130040 is 40031343.

It is an interprime number because it is at equal distance from previous prime (343130009) and next prime (343130071).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 343129995 and 343130022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201111 + ... + 202809.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2343130040 is an apocalyptic number.

343130040 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 343130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

343130040 is an abundant number, since it is smaller than the sum of its proper divisors (978789960).

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

343130040 is a wasteful number, since it uses less digits than its factorization.

343130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 343130040 is about 18523.7695947666. The cubic root of 343130040 is about 700.0884514079.

Adding to 343130040 its reverse (40031343), we get a palindrome (383161383).

The spelling of 343130040 in words is "three hundred forty-three million, one hundred thirty thousand, forty".