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339085292 = 227213731823
BaseRepresentation
bin10100001101100…
…000011111101100
3212122001022120112
4110031200133230
51143301212132
653351435152
711255114600
oct2415403754
9778038515
10339085292
1116444a887
1295685ab8
13553341b0
1433069500
151eb7eab2
hex143607ec

339085292 has 72 divisors (see below), whose sum is σ = 753975936. Its totient is φ = 132233472.

The previous prime is 339085291. The next prime is 339085309. The reversal of 339085292 is 292580933.

It is a super-2 number, since 2×3390852922 = 229957670501450528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (339085291) 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, 185093 + ... + 186915.

It is an arithmetic number, because the mean of its divisors is an integer number (10471888).

Almost surely, 2339085292 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 339085292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376987968).

339085292 is an abundant number, since it is smaller than the sum of its proper divisors (414890644).

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

339085292 is a wasteful number, since it uses less digits than its factorization.

339085292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 339085292 is about 18414.2687066307. The cubic root of 339085292 is about 697.3267372813.

The spelling of 339085292 in words is "three hundred thirty-nine million, eighty-five thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 73 91 98 146 182 196 292 364 511 637 949 1022 1274 1823 1898 2044 2548 3577 3646 3796 6643 7154 7292 12761 13286 14308 23699 25522 26572 46501 47398 51044 89327 93002 94796 133079 165893 178654 186004 266158 331786 357308 532316 663572 931553 1161251 1730027 1863106 2322502 3460054 3726212 4645004 6520871 6920108 12110189 13041742 24220378 26083484 48440756 84771323 169542646 339085292