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339007896 = 23333474523
BaseRepresentation
bin10100001101001…
…101100110011000
3212121220101102000
4110031031212120
51143241223041
653350041000
711254343133
oct2415154630
9777811360
10339007896
111643a7717
1295649160
1355307bb6
143304921a
151eb66bb6
hex1434d998

339007896 has 64 divisors (see below), whose sum is σ = 944611200. Its totient is φ = 112652064.

The previous prime is 339007891. The next prime is 339007913. The reversal of 339007896 is 698700933.

It is a happy number.

339007896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3390078962 = 229852707100693632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339007891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72691 + ... + 77213.

It is an arithmetic number, because the mean of its divisors is an integer number (14759550).

Almost surely, 2339007896 is an apocalyptic number.

339007896 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 339007896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472305600).

339007896 is an abundant number, since it is smaller than the sum of its proper divisors (605603304).

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

339007896 is a wasteful number, since it uses less digits than its factorization.

339007896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 339007896 is about 18412.1670641997. The cubic root of 339007896 is about 697.2736784510.

The spelling of 339007896 in words is "three hundred thirty-nine million, seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 694 1041 1388 2082 2776 3123 4164 4523 6246 8328 9046 9369 12492 13569 18092 18738 24984 27138 36184 37476 40707 54276 74952 81414 108552 122121 162828 244242 325656 488484 976968 1569481 3138962 4708443 6277924 9416886 12555848 14125329 18833772 28250658 37667544 42375987 56501316 84751974 113002632 169503948 339007896