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348000000 = 2835629
BaseRepresentation
bin10100101111100…
…000111100000000
3220020211020020220
4110233200330000
51203042000000
654310503040
711423644155
oct2457407400
9806736226
10348000000
11169489607
1298664a80
1357135a7a
143430a22c
15208411a0
hex14be0f00

348000000 has 252 divisors, whose sum is σ = 1197640920. Its totient is φ = 89600000.

The previous prime is 347999999. The next prime is 348000001. The reversal of 348000000 is 843.

It is an interprime number because it is at equal distance from previous prime (347999999) and next prime (348000001).

It is a super-2 number, since 2×3480000002 = 242208000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11999986 + ... + 12000014.

Almost surely, 2348000000 is an apocalyptic number.

348000000 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 348000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598820460).

348000000 is an abundant number, since it is smaller than the sum of its proper divisors (849640920).

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

348000000 is an frugal number, since it uses more digits than its factorization.

348000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 348000000 is about 18654.7581061776. The cubic root of 348000000 is about 703.3849655998.

Adding to 348000000 its reverse (843), we get a palindrome (348000843).

It can be divided in two parts, 3 and 48000000, that multiplied together give a square (144000000 = 120002).

The spelling of 348000000 in words is "three hundred forty-eight million", and thus it is an aban number.