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340356324 = 223711479769
BaseRepresentation
bin10100010010010…
…110110011100100
3212201102220002210
4110102112303210
51144112400244
653435003420
711301660330
oct2422266344
9781386083
10340356324
11165138820
1295b99570
135568a899
14332ba7c0
151ed314b9
hex14496ce4

340356324 has 96 divisors (see below), whose sum is σ = 993484800. Its totient is φ = 88104960.

The previous prime is 340356319. The next prime is 340356343. The reversal of 340356324 is 423653043.

It is a junction number, because it is equal to n+sod(n) for n = 340356291 and 340356300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442212 + ... + 442980.

It is an arithmetic number, because the mean of its divisors is an integer number (10348800).

Almost surely, 2340356324 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 340356324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496742400).

340356324 is an abundant number, since it is smaller than the sum of its proper divisors (653128476).

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

340356324 is a wasteful number, since it uses less digits than its factorization.

340356324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 340356324 is about 18448.7485754454. The cubic root of 340356324 is about 698.1969406212.

The spelling of 340356324 in words is "three hundred forty million, three hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 479 769 924 958 1437 1538 1916 2307 2874 3076 3353 4614 5269 5383 5748 6706 8459 9228 10059 10538 10766 13412 15807 16149 16918 20118 21076 21532 25377 31614 32298 33836 36883 40236 50754 59213 63228 64596 73766 101508 110649 118426 147532 177639 221298 236852 355278 368351 442596 710556 736702 1105053 1473404 2210106 2578457 4051861 4420212 5156914 7735371 8103722 10313828 12155583 15470742 16207444 24311166 28363027 30941484 48622332 56726054 85089081 113452108 170178162 340356324