Search a number
-
+
400349241 = 32409108761
BaseRepresentation
bin10111110111001…
…101100000111001
31000220022211220200
4113313031200321
51304442133431
6103420512413
712630624645
oct2767154071
91026284820
10400349241
11195a94346
12b20ab709
1364c34556
143b255c25
1525231ee6
hex17dcd839

400349241 has 12 divisors (see below), whose sum is σ = 579701460. Its totient is φ = 266244480.

The previous prime is 400349237. The next prime is 400349251. The reversal of 400349241 is 142943004.

It can be written as a sum of positive squares in 2 ways, for example, as 360848016 + 39501225 = 18996^2 + 6285^2 .

It is not a de Polignac number, because 400349241 - 22 = 400349237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400349251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50700 + ... + 58061.

It is an arithmetic number, because the mean of its divisors is an integer number (48308455).

Almost surely, 2400349241 is an apocalyptic number.

It is an amenable number.

400349241 is a deficient number, since it is larger than the sum of its proper divisors (179352219).

400349241 is a wasteful number, since it uses less digits than its factorization.

400349241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109176 (or 109173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 400349241 is about 20008.7291200616. The cubic root of 400349241 is about 737.0206731576.

The spelling of 400349241 in words is "four hundred million, three hundred forty-nine thousand, two hundred forty-one".

Divisors: 1 3 9 409 1227 3681 108761 326283 978849 44483249 133449747 400349241