Search a number
-
+
349682256 = 243271124761
BaseRepresentation
bin10100110101111…
…011101001010000
3220100222200212200
4110311323221100
51204004313011
654410523200
711444151540
oct2465735120
9810880780
10349682256
1116a428500
1299136500
13575a46a1
1434627320
1520a74856
hex14d7ba50

349682256 has 360 divisors, whose sum is σ = 1276084992. Its totient is φ = 87436800.

The previous prime is 349682239. The next prime is 349682269. The reversal of 349682256 is 652286943.

It is a super-2 number, since 2×3496822562 = 244555360322499072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5732466 + ... + 5732526.

Almost surely, 2349682256 is an apocalyptic number.

349682256 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 349682256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638042496).

349682256 is an abundant number, since it is smaller than the sum of its proper divisors (926402736).

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

349682256 is a wasteful number, since it uses less digits than its factorization.

349682256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 349682256 is about 18699.7929400301. The cubic root of 349682256 is about 704.5165479824.

The spelling of 349682256 in words is "three hundred forty-nine million, six hundred eighty-two thousand, two hundred fifty-six".