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338907240 = 23355717293
BaseRepresentation
bin10100001100110…
…101000001101000
3212121201021100000
4110030311001220
51143230012430
653343543000
711253443520
oct2414650150
9777637300
10338907240
11164339031
12955baa60
13552a1139
1433020680
151eb46e60
hex14335068

338907240 has 384 divisors, whose sum is σ = 1386927360. Its totient is φ = 72658944.

The previous prime is 338907229. The next prime is 338907241. The reversal of 338907240 is 42709833.

338907240 = T77 + T78 + ... + T1266.

It is a super-2 number, since 2×3389072402 = 229716234648835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338907195 and 338907204.

It is not an unprimeable number, because it can be changed into a prime (338907241) 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 95 ways as a sum of consecutive naturals, for example, 1156534 + ... + 1156826.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2338907240 is an apocalyptic number.

338907240 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 338907240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

338907240 is an abundant number, since it is smaller than the sum of its proper divisors (1048020120).

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

338907240 is a wasteful number, since it uses less digits than its factorization.

338907240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 338907240 is about 18409.4334513586. The cubic root of 338907240 is about 697.2046616448.

The spelling of 338907240 in words is "three hundred thirty-eight million, nine hundred seven thousand, two hundred forty".