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339434040 = 233511297241
BaseRepresentation
bin10100001110110…
…101101000111000
3212122201000222010
4110032311220320
51143343342130
653403125520
711261066421
oct2416655070
9778630863
10339434040
11164668900
12958138a0
1355426b5a
143311a648
151ebed0b0
hex143b5a38

339434040 has 192 divisors, whose sum is σ = 1135522080. Its totient is φ = 81100800.

The previous prime is 339434003. The next prime is 339434057. The reversal of 339434040 is 40434933.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 339433989 and 339434007.

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, 1408320 + ... + 1408560.

Almost surely, 2339434040 is an apocalyptic number.

339434040 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 339434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567761040).

339434040 is an abundant number, since it is smaller than the sum of its proper divisors (796088040).

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

339434040 is a wasteful number, since it uses less digits than its factorization.

339434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 339434040 is about 18423.7357775235. The cubic root of 339434040 is about 697.5657213801.

Adding to 339434040 its reverse (40434933), we get a palindrome (379868973).

The spelling of 339434040 in words is "three hundred thirty-nine million, four hundred thirty-four thousand, forty".