Search a number
-
+
339370080 = 25357247307
BaseRepresentation
bin10100001110100…
…110000001100000
3212122120210020020
4110032212001200
51143334320310
653401513440
711260412100
oct2416460140
9778523206
10339370080
11164624845
12957a2880
13554039ca
1433101200
151ebd9170
hex143a6060

339370080 has 288 divisors, whose sum is σ = 1274144256. Its totient is φ = 75672576.

The previous prime is 339370069. The next prime is 339370091. The reversal of 339370080 is 80073933.

It is an interprime number because it is at equal distance from previous prime (339370069) and next prime (339370091).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105287 + ... + 1105593.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2339370080 is an apocalyptic number.

339370080 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 339370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637072128).

339370080 is an abundant number, since it is smaller than the sum of its proper divisors (934774176).

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

339370080 is a wasteful number, since it uses less digits than its factorization.

339370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 339370080 is about 18421.9998914342. Note that the first 3 decimals coincide. The cubic root of 339370080 is about 697.5219042208.

The spelling of 339370080 in words is "three hundred thirty-nine million, three hundred seventy thousand, eighty".