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339328896 = 2735316673
BaseRepresentation
bin10100001110011…
…011111110000000
3212122111200201220
4110032123332000
51143332011041
653400555040
711260151034
oct2416337600
9778450656
10339328896
111645a6905
1295782a80
13553bb03a
14330d01c4
151ebcbd66
hex1439bf80

339328896 has 64 divisors (see below), whose sum is σ = 918403920. Its totient is φ = 110968832.

The previous prime is 339328889. The next prime is 339328897. The reversal of 339328896 is 698823933.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339328897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12016 + ... + 28688.

Almost surely, 2339328896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459201960).

339328896 is an abundant number, since it is smaller than the sum of its proper divisors (579075024).

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

339328896 is a wasteful number, since it uses less digits than its factorization.

339328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16743 (or 16731 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 339328896 is about 18420.8820635712. The cubic root of 339328896 is about 697.4936873313.

The spelling of 339328896 in words is "three hundred thirty-nine million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 16673 20352 33346 50019 66692 100038 133384 200076 266768 400152 533536 800304 883669 1067072 1600608 1767338 2134144 2651007 3201216 3534676 5302014 6402432 7069352 10604028 14138704 21208056 28277408 42416112 56554816 84832224 113109632 169664448 339328896