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339590340 = 223355631117
BaseRepresentation
bin10100001111011…
…011110011000100
3212122222222101000
4110033123303010
51143413342330
653410333300
711262320205
oct2417336304
9778888330
10339590340
11164765281
129588a230
135548003b
143315b5ac
151ec2e560
hex143dbcc4

339590340 has 96 divisors (see below), whose sum is σ = 1059327360. Its totient is φ = 90315648.

The previous prime is 339590333. The next prime is 339590341. The reversal of 339590340 is 43095933.

It is a happy number.

339590340 is a `hidden beast` number, since 3 + 39 + 590 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 339590295 and 339590304.

It is not an unprimeable number, because it can be changed into a prime (339590341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303462 + ... + 304578.

It is an arithmetic number, because the mean of its divisors is an integer number (11034660).

Almost surely, 2339590340 is an apocalyptic number.

339590340 is a gapful number since it is divisible by the number (30) 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 339590340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529663680).

339590340 is an abundant number, since it is smaller than the sum of its proper divisors (719737020).

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

339590340 is a wasteful number, since it uses less digits than its factorization.

339590340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 339590340 is about 18427.9771000509. The cubic root of 339590340 is about 697.6727748659.

The spelling of 339590340 in words is "three hundred thirty-nine million, five hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 563 1117 1126 1689 2234 2252 2815 3351 3378 4468 5067 5585 5630 6702 6756 8445 10053 10134 11170 11260 13404 15201 16755 16890 20106 20268 22340 25335 30159 30402 33510 33780 40212 50265 50670 60318 60804 67020 76005 100530 101340 120636 150795 152010 201060 301590 304020 603180 628871 1257742 1886613 2515484 3144355 3773226 5659839 6288710 7546452 9433065 11319678 12577420 16979517 18866130 22639356 28299195 33959034 37732260 56598390 67918068 84897585 113196780 169795170 339590340