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339721056 = 25325919993
BaseRepresentation
bin10100001111111…
…011101101100000
3212200020121200100
4110033323231200
51143432033211
653413222400
711263403253
oct2417735540
9780217610
10339721056
11164844504
1295931a00
13554c769c
143319309a
151ec58156
hex143fbb60

339721056 has 72 divisors (see below), whose sum is σ = 982505160. Its totient is φ = 111315456.

The previous prime is 339721037. The next prime is 339721069. The reversal of 339721056 is 650127933.

339721056 is a `hidden beast` number, since 3 + 397 + 210 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 339721056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6996 + ... + 26988.

It is an arithmetic number, because the mean of its divisors is an integer number (13645905).

Almost surely, 2339721056 is an apocalyptic number.

339721056 is a gapful number since it is divisible by the number (36) 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 339721056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491252580).

339721056 is an abundant number, since it is smaller than the sum of its proper divisors (642784104).

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

339721056 is a wasteful number, since it uses less digits than its factorization.

339721056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20068 (or 20057 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 339721056 is about 18431.5234313390. The cubic root of 339721056 is about 697.7622800578.

Adding to 339721056 its reverse (650127933), we get a palindrome (989848989).

The spelling of 339721056 in words is "three hundred thirty-nine million, seven hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 19993 39986 59979 79972 119958 159944 179937 239916 319888 359874 479832 639776 719748 959664 1179587 1439496 1919328 2359174 2878992 3538761 4718348 5757984 7077522 9436696 10616283 14155044 18873392 21232566 28310088 37746784 42465132 56620176 84930264 113240352 169860528 339721056