Search a number
-
+
340083360 = 253558747
BaseRepresentation
bin10100010001010…
…100001010100000
3212200221000200000
4110101110022200
51144030131420
653425100000
711266442451
oct2421241240
9780830600
10340083360
11164a71731
1295a87600
13555c3576
1433249128
151ecca690
hex144542a0

340083360 has 144 divisors (see below), whose sum is σ = 1203654816. Its totient is φ = 90678528.

The previous prime is 340083323. The next prime is 340083371. The reversal of 340083360 is 63380043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34507 + ... + 43253.

It is an arithmetic number, because the mean of its divisors is an integer number (8358714).

Almost surely, 2340083360 is an apocalyptic number.

340083360 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 340083360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601827408).

340083360 is an abundant number, since it is smaller than the sum of its proper divisors (863571456).

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

340083360 is an equidigital number, since it uses as much as digits as its factorization.

340083360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 340083360 is about 18441.3491914231. The cubic root of 340083360 is about 698.0102405976.

The spelling of 340083360 in words is "three hundred forty million, eighty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 8747 9720 12960 17494 19440 26241 34988 38880 43735 52482 69976 78723 87470 104964 131205 139952 157446 174940 209928 236169 262410 279904 314892 349880 393615 419856 472338 524820 629784 699760 708507 787230 839712 944676 1049640 1180845 1259568 1399520 1417014 1574460 1889352 2099280 2125521 2361690 2519136 2834028 3148920 3542535 3778704 4198560 4251042 4723380 5668056 6297840 7085070 7557408 8502084 9446760 10627605 11336112 12595680 14170140 17004168 18893520 21255210 22672224 28340280 34008336 37787040 42510420 56680560 68016672 85020840 113361120 170041680 340083360