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339374112 = 253711311481
BaseRepresentation
bin10100001110100…
…111000000100000
3212122120222202120
4110032213000200
51143334432422
653401544240
711260426620
oct2416470040
9778528676
10339374112
11164627880
12957a5080
13554057ac
1433102880
151ebda45c
hex143a7020

339374112 has 192 divisors, whose sum is σ = 1147281408. Its totient is φ = 85248000.

The previous prime is 339374089. The next prime is 339374117. The reversal of 339374112 is 211473933.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (339374117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228412 + ... + 229892.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2339374112 is an apocalyptic number.

339374112 is a gapful number since it is divisible by the number (32) 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 339374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640704).

339374112 is an abundant number, since it is smaller than the sum of its proper divisors (807907296).

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

339374112 is a wasteful number, since it uses less digits than its factorization.

339374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

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

The square root of 339374112 is about 18422.1093254817. The cubic root of 339374112 is about 697.5246665908.

The spelling of 339374112 in words is "three hundred thirty-nine million, three hundred seventy-four thousand, one hundred twelve".