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339238480 = 24574712889
BaseRepresentation
bin10100001110000…
…101111001010000
3212122100002201011
4110032011321100
51143321112410
653355020304
711256323320
oct2416057120
9778302634
10339238480
11164544989
129573a694
1355388b39
14330a9280
151ebb018a
hex14385e50

339238480 has 80 divisors (see below), whose sum is σ = 920655360. Its totient is φ = 113826816.

The previous prime is 339238429. The next prime is 339238499. The reversal of 339238480 is 84832933.

339238480 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 19876 + ... + 32764.

It is an arithmetic number, because the mean of its divisors is an integer number (11508192).

Almost surely, 2339238480 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 339238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460327680).

339238480 is an abundant number, since it is smaller than the sum of its proper divisors (581416880).

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

339238480 is a wasteful number, since it uses less digits than its factorization.

339238480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 339238480 is about 18418.4277287721. The cubic root of 339238480 is about 697.4317315198.

The spelling of 339238480 in words is "three hundred thirty-nine million, two hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 5264 6580 12889 13160 25778 26320 51556 64445 90223 103112 128890 180446 206224 257780 360892 451115 515560 605783 721784 902230 1031120 1211566 1443568 1804460 2423132 3028915 3608920 4240481 4846264 6057830 7217840 8480962 9692528 12115660 16961924 21202405 24231320 33923848 42404810 48462640 67847696 84809620 169619240 339238480