Search a number
-
+
344375648 = 25431072339
BaseRepresentation
bin10100100001101…
…100000101100000
3220000000002120122
4110201230011200
51201130010043
654101055412
711351100431
oct2441540540
9800002518
10344375648
11167433581
12973b7568
1356467196
1433a45488
1520377368
hex1486c160

344375648 has 48 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 166540416.

The previous prime is 344375641. The next prime is 344375653. The reversal of 344375648 is 846573443.

It is a junction number, because it is equal to n+sod(n) for n = 344375599 and 344375608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344375641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146063 + ... + 148401.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 2344375648 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 344375648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

344375648 is an abundant number, since it is smaller than the sum of its proper divisors (356164192).

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

344375648 is a wasteful number, since it uses less digits than its factorization.

344375648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2491 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The square root of 344375648 is about 18557.3610192829. The cubic root of 344375648 is about 700.9345666752.

The spelling of 344375648 in words is "three hundred forty-four million, three hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 428 688 856 1376 1712 2339 3424 4601 4678 9202 9356 18404 18712 36808 37424 73616 74848 100577 147232 201154 250273 402308 500546 804616 1001092 1609232 2002184 3218464 4004368 8008736 10761739 21523478 43046956 86093912 172187824 344375648