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339419136 = 213371973
BaseRepresentation
bin10100001110110…
…010000000000000
3212122200021112010
4110032302000000
51143342403021
653402532520
711261005110
oct2416620000
9778607463
10339419136
11164658691
1295807140
1355420134
1433115040
151ebe8976
hex143b2000

339419136 has 112 divisors (see below), whose sum is σ = 1034881344. Its totient is φ = 96927744.

The previous prime is 339419107. The next prime is 339419137. The reversal of 339419136 is 631914933.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 339419094 and 339419103.

It is not an unprimeable number, because it can be changed into a prime (339419137) 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, 171046 + ... + 173018.

It is an arithmetic number, because the mean of its divisors is an integer number (9240012).

Almost surely, 2339419136 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 339419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440672).

339419136 is an abundant number, since it is smaller than the sum of its proper divisors (695462208).

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

339419136 is an equidigital number, since it uses as much as digits as its factorization.

339419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1985 counting only the distinct ones).

The product of its digits is 52488, while the sum is 39.

The square root of 339419136 is about 18423.3312948554. The cubic root of 339419136 is about 697.5555115696. Note that the first 4 decimals are identical.

The spelling of 339419136 in words is "three hundred thirty-nine million, four hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1973 2048 2688 3072 3584 3946 4096 5376 5919 6144 7168 7892 8192 10752 11838 12288 13811 14336 15784 21504 23676 24576 27622 28672 31568 41433 43008 47352 55244 57344 63136 82866 86016 94704 110488 126272 165732 172032 189408 220976 252544 331464 378816 441952 505088 662928 757632 883904 1010176 1325856 1515264 1767808 2020352 2651712 3030528 3535616 4040704 5303424 6061056 7071232 8081408 10606848 12122112 14142464 16162816 21213696 24244224 28284928 42427392 48488448 56569856 84854784 113139712 169709568 339419136