Search a number
-
+
340032240 = 243253471361
BaseRepresentation
bin10100010001000…
…111101011110000
3212200211102112200
4110101013223300
51144022012430
653424023200
711266140432
oct2421075360
9780742480
10340032240
11164a37289
1295a61b00
13555a6212
1433234652
151ecba460
hex14447af0

340032240 has 120 divisors (see below), whose sum is σ = 1146073968. Its totient is φ = 90347520.

The previous prime is 340032193. The next prime is 340032241. The reversal of 340032240 is 42230043.

340032240 is a `hidden beast` number, since 340 + 0 + 322 + 4 + 0 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (340032241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 249160 + ... + 250520.

Almost surely, 2340032240 is an apocalyptic number.

340032240 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 340032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573036984).

340032240 is an abundant number, since it is smaller than the sum of its proper divisors (806041728).

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

340032240 is a wasteful number, since it uses less digits than its factorization.

340032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

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

The square root of 340032240 is about 18439.9631236074. The cubic root of 340032240 is about 697.9752647890.

Adding to 340032240 its reverse (42230043), we get a palindrome (382262283).

The spelling of 340032240 in words is "three hundred forty million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 347 360 694 720 1041 1361 1388 1735 2082 2722 2776 3123 3470 4083 4164 5205 5444 5552 6246 6805 6940 8166 8328 10410 10888 12249 12492 13610 13880 15615 16332 16656 20415 20820 21776 24498 24984 27220 27760 31230 32664 40830 41640 48996 49968 54440 61245 62460 65328 81660 83280 97992 108880 122490 124920 163320 195984 244980 249840 326640 472267 489960 944534 979920 1416801 1889068 2361335 2833602 3778136 4250403 4722670 5667204 7084005 7556272 8500806 9445340 11334408 14168010 17001612 18890680 21252015 22668816 28336020 34003224 37781360 42504030 56672040 68006448 85008060 113344080 170016120 340032240