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348941340 = 22325112959103
BaseRepresentation
bin10100110011000…
…110110000011100
3220022121001112100
4110303012300130
51203312110330
654343005100
711434644456
oct2463066034
9808531470
10348941340
11169a71880
1298a39790
13573a5387
14344b32d6
152097a060
hex14cc6c1c

348941340 has 288 divisors, whose sum is σ = 1226534400. Its totient is φ = 79511040.

The previous prime is 348941309. The next prime is 348941353. The reversal of 348941340 is 43149843.

348941340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 348941295 and 348941304.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3387729 + ... + 3387831.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2348941340 is an apocalyptic number.

348941340 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 348941340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

348941340 is an abundant number, since it is smaller than the sum of its proper divisors (877593060).

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

348941340 is a wasteful number, since it uses less digits than its factorization.

348941340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 348941340 is about 18679.9716273874. The cubic root of 348941340 is about 704.0186133810.

It can be divided in two parts, 348941 and 340, that added together give a square (349281 = 5912).

The spelling of 348941340 in words is "three hundred forty-eight million, nine hundred forty-one thousand, three hundred forty".