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344130430 = 25721913677
BaseRepresentation
bin10100100000110…
…000001101111110
3212222112122012111
4110200300031332
51201044133210
654051524234
711346026500
oct2440601576
9788478174
10344130430
11167286316
12972b967a
13563ac697
14339bdd70
152032988a
hex1483037e

344130430 has 48 divisors (see below), whose sum is σ = 724536576. Its totient is φ = 117337920.

The previous prime is 344130427. The next prime is 344130433. The reversal of 344130430 is 34031443.

It is an interprime number because it is at equal distance from previous prime (344130427) and next prime (344130433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91752 + ... + 95428.

It is an arithmetic number, because the mean of its divisors is an integer number (15094512).

Almost surely, 2344130430 is an apocalyptic number.

344130430 is an abundant number, since it is smaller than the sum of its proper divisors (380406146).

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

344130430 is a wasteful number, since it uses less digits than its factorization.

344130430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 344130430 is about 18550.7528149129. The cubic root of 344130430 is about 700.7681567420.

Adding to 344130430 its reverse (34031443), we get a palindrome (378161873).

The spelling of 344130430 in words is "three hundred forty-four million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 191 245 382 490 955 1337 1910 2674 3677 6685 7354 9359 13370 18385 18718 25739 36770 46795 51478 93590 128695 180173 257390 360346 702307 900865 1404614 1801730 3511535 4916149 7023070 9832298 24580745 34413043 49161490 68826086 172065215 344130430