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348858468 = 2233719149163
BaseRepresentation
bin10100110010110…
…010100001100100
3220022102211212000
4110302302201210
51203301432333
654341125300
711434151040
oct2462624144
9808384760
10348858468
11169a15592
12989b9830
135737673a
1434491020
1520960713
hex14cb2864

348858468 has 192 divisors, whose sum is σ = 1102080000. Its totient is φ = 93218688.

The previous prime is 348858467. The next prime is 348858473. The reversal of 348858468 is 864858843.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (348858467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140155 + ... + 2140317.

It is an arithmetic number, because the mean of its divisors is an integer number (5740000).

Almost surely, 2348858468 is an apocalyptic number.

348858468 is a gapful number since it is divisible by the number (38) 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 348858468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551040000).

348858468 is an abundant number, since it is smaller than the sum of its proper divisors (753221532).

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

348858468 is a wasteful number, since it uses less digits than its factorization.

348858468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The square root of 348858468 is about 18677.7532910144. The cubic root of 348858468 is about 703.9628752160.

The spelling of 348858468 in words is "three hundred forty-eight million, eight hundred fifty-eight thousand, four hundred sixty-eight".