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348981696 = 2634759163
BaseRepresentation
bin10100110011010…
…000100111000000
3220022200002220000
4110303100213000
51203314403241
654343520000
711435203230
oct2463204700
9808602800
10348981696
11169a9a128
1298a59000
13573ba85b
14344c3cc0
1520986eb6
hex14cd09c0

348981696 has 280 divisors, whose sum is σ = 1209690240. Its totient is φ = 97417728.

The previous prime is 348981623. The next prime is 348981697. The reversal of 348981696 is 696189843.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348981697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2140911 + ... + 2141073.

Almost surely, 2348981696 is an apocalyptic number.

348981696 is a gapful number since it is divisible by the number (36) 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 348981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604845120).

348981696 is an abundant number, since it is smaller than the sum of its proper divisors (860708544).

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

348981696 is a wasteful number, since it uses less digits than its factorization.

348981696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 348981696 is about 18681.0517905176. The cubic root of 348981696 is about 704.0457528805.

The spelling of 348981696 in words is "three hundred forty-eight million, nine hundred eighty-one thousand, six hundred ninety-six".