Search a number
-
+
344351140 = 22574759887
BaseRepresentation
bin10100100001100…
…110000110100100
3212222221211221221
4110201212012210
51201123214030
654100350124
711350636120
oct2441460644
9788854857
10344351140
11167417121
12973a5344
1356458c93
1433a3a580
152036ee7a
hex148661a4

344351140 has 96 divisors (see below), whose sum is σ = 859299840. Its totient is φ = 113464704.

The previous prime is 344351129. The next prime is 344351149. The reversal of 344351140 is 41153443.

It is not an unprimeable number, because it can be changed into a prime (344351149) 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 31 ways as a sum of consecutive naturals, for example, 387777 + ... + 388663.

It is an arithmetic number, because the mean of its divisors is an integer number (8951040).

Almost surely, 2344351140 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 344351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

344351140 is an abundant number, since it is smaller than the sum of its proper divisors (514948700).

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

344351140 is a wasteful number, since it uses less digits than its factorization.

344351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 344351140 is about 18556.7006765750. The cubic root of 344351140 is about 700.9179386006.

The spelling of 344351140 in words is "three hundred forty-four million, three hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 59 70 94 118 140 188 235 236 295 329 413 470 590 658 826 887 940 1180 1316 1645 1652 1774 2065 2773 3290 3548 4130 4435 5546 6209 6580 8260 8870 11092 12418 13865 17740 19411 24836 27730 31045 38822 41689 52333 55460 62090 77644 83378 97055 104666 124180 166756 194110 208445 209332 261665 291823 366331 388220 416890 523330 583646 732662 833780 1046660 1167292 1459115 1465324 1831655 2459651 2918230 3663310 4919302 5836460 7326620 9838604 12298255 17217557 24596510 34435114 49193020 68870228 86087785 172175570 344351140