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348611340 = 2235711611237
BaseRepresentation
bin10100110001110…
…110001100001100
3220021222021212010
4110301312030030
51203221030330
654331541220
711432101410
oct2461661414
9807867763
10348611340
11169866950
12988ba810
13572bb0cc
1434428d40
15209123b0
hex14c7630c

348611340 has 192 divisors, whose sum is σ = 1237920768. Its totient is φ = 71193600.

The previous prime is 348611323. The next prime is 348611359. The reversal of 348611340 is 43116843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 348611298 and 348611307.

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 63 ways as a sum of consecutive naturals, for example, 281202 + ... + 282438.

It is an arithmetic number, because the mean of its divisors is an integer number (6447504).

Almost surely, 2348611340 is an apocalyptic number.

348611340 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 348611340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618960384).

348611340 is an abundant number, since it is smaller than the sum of its proper divisors (889309428).

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

348611340 is a wasteful number, since it uses less digits than its factorization.

348611340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 348611340 is about 18671.1365481590. The cubic root of 348611340 is about 703.7966090949.

The spelling of 348611340 in words is "three hundred forty-eight million, six hundred eleven thousand, three hundred forty".