Search a number
-
+
344774440 = 23561141301
BaseRepresentation
bin10100100011001…
…101011100101000
3220000202100121201
4110203031130220
51201230240230
654113413544
711354351203
oct2443153450
9800670551
10344774440
1116768615a
129756a2b4
135657685a
1433b0a93a
15204055ca
hex148cd728

344774440 has 32 divisors (see below), whose sum is σ = 788465160. Its totient is φ = 135648000.

The previous prime is 344774389. The next prime is 344774449. The reversal of 344774440 is 44477443.

It can be written as a sum of positive squares in 4 ways, for example, as 281635524 + 63138916 = 16782^2 + 7946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 344774440.

It is not an unprimeable number, because it can be changed into a prime (344774449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68211 + ... + 73090.

Almost surely, 2344774440 is an apocalyptic number.

It is an amenable number.

344774440 is an abundant number, since it is smaller than the sum of its proper divisors (443690720).

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

344774440 is a wasteful number, since it uses less digits than its factorization.

344774440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141373 (or 141369 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 37.

The square root of 344774440 is about 18568.1027571478. The cubic root of 344774440 is about 701.2050264380.

The spelling of 344774440 in words is "three hundred forty-four million, seven hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 141301 282602 565204 706505 1130408 1413010 2826020 5652040 8619361 17238722 34477444 43096805 68954888 86193610 172387220 344774440