Search a number
-
+
344125544 = 237311671187
BaseRepresentation
bin10100100000101…
…111000001101000
3212222112101111112
4110200233001220
51201044004134
654051445452
711346006320
oct2440570150
9788471445
10344125544
11167282684
12972b6888
13563aa3a9
14339bc280
15203281ce
hex1482f068

344125544 has 64 divisors (see below), whose sum is σ = 766402560. Its totient is φ = 141750720.

The previous prime is 344125541. The next prime is 344125547. The reversal of 344125544 is 445521443.

It is an interprime number because it is at equal distance from previous prime (344125541) and next prime (344125547).

It is a self number, because there is not a number n which added to its sum of digits gives 344125544.

It is not an unprimeable number, because it can be changed into a prime (344125541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 289319 + ... + 290505.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 2344125544 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 344125544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

344125544 is an abundant number, since it is smaller than the sum of its proper divisors (422277016).

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

344125544 is a wasteful number, since it uses less digits than its factorization.

344125544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1394 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 344125544 is about 18550.6211216768. The cubic root of 344125544 is about 700.7648401996.

Adding to 344125544 its reverse (445521443), we get a palindrome (789646987).

The spelling of 344125544 in words is "three hundred forty-four million, one hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 167 217 248 334 434 668 868 1169 1187 1336 1736 2338 2374 4676 4748 5177 8309 9352 9496 10354 16618 20708 33236 36239 36797 41416 66472 72478 73594 144956 147188 198229 257579 289912 294376 396458 515158 792916 1030316 1387603 1585832 2060632 2775206 5550412 6145099 11100824 12290198 24580396 43015693 49160792 86031386 172062772 344125544