Search a number
-
+
344077040 = 2454300963
BaseRepresentation
bin10100100000100…
…011001011110000
3212222102220222002
4110200203023300
51201040431130
654050433132
711345415026
oct2440431360
9788386862
10344077040
1116724a19a
12972927a8
13563912a8
14339a8716
1520318b45
hex148232f0

344077040 has 20 divisors (see below), whose sum is σ = 799979304. Its totient is φ = 137630784.

The previous prime is 344077037. The next prime is 344077049. The reversal of 344077040 is 40770443.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 344076994 and 344077012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344077049) 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 3 ways as a sum of consecutive naturals, for example, 2150402 + ... + 2150561.

Almost surely, 2344077040 is an apocalyptic number.

It is an amenable number.

344077040 is an abundant number, since it is smaller than the sum of its proper divisors (455902264).

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

344077040 is a wasteful number, since it uses less digits than its factorization.

344077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300976 (or 4300970 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 344077040 is about 18549.3137339364. The cubic root of 344077040 is about 700.7319147209.

The spelling of 344077040 in words is "three hundred forty-four million, seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4300963 8601926 17203852 21504815 34407704 43009630 68815408 86019260 172038520 344077040