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339327940 = 225721811913
BaseRepresentation
bin10100001110011…
…011101111000100
3212122111122102111
4110032123233010
51143331443230
653400550404
711260145200
oct2416335704
9778448374
10339327940
111645a6116
1295782404
13553ba783
14330cdb00
151ebcb92a
hex1439bbc4

339327940 has 72 divisors (see below), whose sum is σ = 833945112. Its totient is φ = 115637760.

The previous prime is 339327929. The next prime is 339327943. The reversal of 339327940 is 49723933.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 327175744 = 3486^2 + 18088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 339327893 and 339327902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339327943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176424 + ... + 178336.

It is an arithmetic number, because the mean of its divisors is an integer number (11582571).

Almost surely, 2339327940 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 339327940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416972556).

339327940 is an abundant number, since it is smaller than the sum of its proper divisors (494617172).

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

339327940 is a wasteful number, since it uses less digits than its factorization.

339327940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 40.

The square root of 339327940 is about 18420.8561147412. The cubic root of 339327940 is about 697.4930323084.

The spelling of 339327940 in words is "three hundred thirty-nine million, three hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 181 196 245 362 490 724 905 980 1267 1810 1913 2534 3620 3826 5068 6335 7652 8869 9565 12670 13391 17738 19130 25340 26782 35476 38260 44345 53564 66955 88690 93737 133910 177380 187474 267820 346253 374948 468685 692506 937370 1385012 1731265 1874740 2423771 3462530 4847542 6925060 9695084 12118855 16966397 24237710 33932794 48475420 67865588 84831985 169663970 339327940