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339641952 = 25313318779
BaseRepresentation
bin10100001111101…
…000011001100000
3212200002121011120
4110033220121200
51143422020302
653411412240
711262623526
oct2417503140
9780077146
10339641952
111647a0031
12958b4080
135549a690
1433172316
151ec3e9bc
hex143e8660

339641952 has 96 divisors (see below), whose sum is σ = 991226880. Its totient is φ = 101122560.

The previous prime is 339641941. The next prime is 339641969. The reversal of 339641952 is 259146933.

It is a happy number.

339641952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34299 + ... + 43077.

It is an arithmetic number, because the mean of its divisors is an integer number (10325280).

Almost surely, 2339641952 is an apocalyptic number.

339641952 is a gapful number since it is divisible by the number (32) 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 339641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495613440).

339641952 is an abundant number, since it is smaller than the sum of its proper divisors (651584928).

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

339641952 is a wasteful number, since it uses less digits than its factorization.

339641952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8828 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 339641952 is about 18429.3774175906. The cubic root of 339641952 is about 697.7081179042.

The spelling of 339641952 in words is "three hundred thirty-nine million, six hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 8779 9672 12896 17558 19344 26337 35116 38688 52674 70232 105348 114127 140464 210696 228254 272149 280928 342381 421392 456508 544298 684762 816447 842784 913016 1088596 1369524 1632894 1826032 2177192 2739048 3265788 3537937 3652064 4354384 5478096 6531576 7075874 8708768 10613811 10956192 13063152 14151748 21227622 26126304 28303496 42455244 56606992 84910488 113213984 169820976 339641952