Search a number
-
+
340050040 = 235115913099
BaseRepresentation
bin10100010001001…
…100000001111000
3212200212022221221
4110101030001320
51144023100130
653424241424
711266243351
oct2421140170
9780768857
10340050040
11164a496a0
1295a70274
13555b1355
143323ad28
151ecc087a
hex1444c078

340050040 has 64 divisors (see below), whose sum is σ = 848880000. Its totient is φ = 121549440.

The previous prime is 340050019. The next prime is 340050047. The reversal of 340050040 is 40050043.

It is a junction number, because it is equal to n+sod(n) for n = 340049996 and 340050023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340050047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19411 + ... + 32509.

It is an arithmetic number, because the mean of its divisors is an integer number (13263750).

Almost surely, 2340050040 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 340050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424440000).

340050040 is an abundant number, since it is smaller than the sum of its proper divisors (508829960).

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

340050040 is a wasteful number, since it uses less digits than its factorization.

340050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180 (or 13176 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 340050040 is about 18440.4457646772. The cubic root of 340050040 is about 697.9874437743.

The spelling of 340050040 in words is "three hundred forty million, fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 13099 25960 26198 52396 65495 104792 130990 144089 261980 288178 523960 576356 720445 772841 1152712 1440890 1545682 2881780 3091364 3864205 5763560 6182728 7728410 8501251 15456820 17002502 30913640 34005004 42506255 68010008 85012510 170025020 340050040