Search a number
-
+
344242128 = 2437171711
BaseRepresentation
bin10100100001001…
…011011111010000
3212222202022102110
4110201023133100
51201111222003
654054145320
711350003236
oct2441133720
9788668373
10344242128
1116735222a
1297352240
135641b489
1433a0c956
152034ca03
hex1484b7d0

344242128 has 20 divisors (see below), whose sum is σ = 889292288. Its totient is φ = 114747360.

The previous prime is 344242123. The next prime is 344242177. The reversal of 344242128 is 821242443.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 344242095 and 344242104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344242123) 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 3 ways as a sum of consecutive naturals, for example, 3585808 + ... + 3585903.

Almost surely, 2344242128 is an apocalyptic number.

It is an amenable number.

344242128 is an abundant number, since it is smaller than the sum of its proper divisors (545050160).

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

344242128 is a wasteful number, since it uses less digits than its factorization.

344242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171722 (or 7171716 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 344242128 is about 18553.7631762400. The cubic root of 344242128 is about 700.8439670816.

The spelling of 344242128 in words is "three hundred forty-four million, two hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 7171711 14343422 21515133 28686844 43030266 57373688 86060532 114747376 172121064 344242128