Search a number
-
+
401374233 = 321317201797
BaseRepresentation
bin10111111011000…
…111110000011001
31000222020220221100
4113323013300121
51310222433413
6103454502013
712642424161
oct2773076031
91028226840
10401374233
11196624447
12b2504909
1365202c60
143b4415a1
1525385a73
hex17ec7c19

401374233 has 24 divisors (see below), whose sum is σ = 661090248. Its totient is φ = 232468992.

The previous prime is 401374231. The next prime is 401374249. The reversal of 401374233 is 332473104.

It can be written as a sum of positive squares in 4 ways, for example, as 169208064 + 232166169 = 13008^2 + 15237^2 .

It is not a de Polignac number, because 401374233 - 21 = 401374231 is a prime.

It is a super-2 number, since 2×4013742332 = 322202549832676578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401374197 and 401374206.

It is not an unprimeable number, because it can be changed into a prime (401374231) 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 23 ways as a sum of consecutive naturals, for example, 98910 + ... + 102887.

It is an arithmetic number, because the mean of its divisors is an integer number (27545427).

Almost surely, 2401374233 is an apocalyptic number.

It is an amenable number.

401374233 is a deficient number, since it is larger than the sum of its proper divisors (259716015).

401374233 is a wasteful number, since it uses less digits than its factorization.

401374233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201833 (or 201830 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 401374233 is about 20034.3263675123. The cubic root of 401374233 is about 737.6491215455.

The spelling of 401374233 in words is "four hundred one million, three hundred seventy-four thousand, two hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 201797 605391 1816173 2623361 3430549 7870083 10291647 23610249 30874941 44597137 133791411 401374233