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339394240 = 2656117387
BaseRepresentation
bin10100001110101…
…011111011000000
3212122122000101001
4110032223323000
51143341103430
653402221344
711260542403
oct2416537300
9778560331
10339394240
11164640a09
12957b4854
13554119c3
1433109d3a
151ebe13ca
hex143abec0

339394240 has 56 divisors (see below), whose sum is σ = 821478672. Its totient is φ = 133524480.

The previous prime is 339394217. The next prime is 339394241. The reversal of 339394240 is 42493933.

339394240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 339394240.

It is not an unprimeable number, because it can be changed into a prime (339394241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10827 + ... + 28213.

It is an arithmetic number, because the mean of its divisors is an integer number (14669262).

Almost surely, 2339394240 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 339394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410739336).

339394240 is an abundant number, since it is smaller than the sum of its proper divisors (482084432).

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

339394240 is a wasteful number, since it uses less digits than its factorization.

339394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17465 (or 17455 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 339394240 is about 18422.6556174727. The cubic root of 339394240 is about 697.5384561900.

The spelling of 339394240 in words is "three hundred thirty-nine million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 17387 19520 34774 69548 86935 139096 173870 278192 347740 556384 695480 1060607 1112768 1390960 2121214 2781920 4242428 5303035 5563840 8484856 10606070 16969712 21212140 33939424 42424280 67878848 84848560 169697120 339394240