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340420320 = 2534526267
BaseRepresentation
bin10100010010100…
…110011011100000
3212201120010220000
4110102212123200
51144121422240
653440220000
711302345032
oct2422463340
9781503800
10340420320
11165181909
129600a600
13556b0a56
14332d5c52
151ed45430
hex144a66e0

340420320 has 120 divisors (see below), whose sum is σ = 1201445784. Its totient is φ = 90775296.

The previous prime is 340420303. The next prime is 340420351. The reversal of 340420320 is 23024043.

340420320 is a `hidden beast` number, since 340 + 4 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 340420293 and 340420302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174 + ... + 26093.

Almost surely, 2340420320 is an apocalyptic number.

340420320 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 340420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600722892).

340420320 is an abundant number, since it is smaller than the sum of its proper divisors (861025464).

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

340420320 is a wasteful number, since it uses less digits than its factorization.

340420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26294 (or 26277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340420320 is about 18450.4829205092. The cubic root of 340420320 is about 698.2406977155.

Adding to 340420320 its reverse (23024043), we get a palindrome (363444363).

The spelling of 340420320 in words is "three hundred forty million, four hundred twenty thousand, three hundred twenty".

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 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 26267 52534 78801 105068 131335 157602 210136 236403 262670 315204 394005 420272 472806 525340 630408 709209 788010 840544 945612 1050680 1182015 1260816 1418418 1576020 1891224 2101360 2127627 2364030 2521632 2836836 3152040 3546045 3782448 4202720 4255254 4728060 5673672 6304080 7092090 7564896 8510508 9456120 10638135 11347344 12608160 14184180 17021016 18912240 21276270 22694688 28368360 34042032 37824480 42552540 56736720 68084064 85105080 113473440 170210160 340420320