Search a number
-
+
340314450 = 235271013209
BaseRepresentation
bin10100010010001…
…100100101010010
3212201100202122220
4110102030211102
51144110030300
653434041510
711301424260
oct2422144522
9781322586
10340314450
1116510a313
1295b79296
13556747c8
14332a9430
151ed23da0
hex1448c952

340314450 has 96 divisors (see below), whose sum is σ = 974401920. Its totient is φ = 76992000.

The previous prime is 340314433. The next prime is 340314461. The reversal of 340314450 is 54413043.

It is a self number, because there is not a number n which added to its sum of digits gives 340314450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104446 + ... + 107654.

It is an arithmetic number, because the mean of its divisors is an integer number (10150020).

Almost surely, 2340314450 is an apocalyptic number.

340314450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340314450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487200960).

340314450 is an abundant number, since it is smaller than the sum of its proper divisors (634087470).

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

340314450 is a wasteful number, since it uses less digits than its factorization.

340314450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 340314450 is about 18447.6136668134. The cubic root of 340314450 is about 698.1683064167.

Adding to 340314450 its reverse (54413043), we get a palindrome (394727493).

The spelling of 340314450 in words is "three hundred forty million, three hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 101 105 150 175 202 210 303 350 505 525 606 707 1010 1050 1414 1515 2121 2525 3030 3209 3535 4242 5050 6418 7070 7575 9627 10605 15150 16045 17675 19254 21210 22463 32090 35350 44926 48135 53025 67389 80225 96270 106050 112315 134778 160450 224630 240675 324109 336945 481350 561575 648218 673890 972327 1123150 1620545 1684725 1944654 2268763 3241090 3369450 4537526 4861635 6806289 8102725 9723270 11343815 13612578 16205450 22687630 24308175 34031445 48616350 56719075 68062890 113438150 170157225 340314450