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400003434 = 2342469157
BaseRepresentation
bin10111110101111…
…001000101101010
31000212200021120000
4113311321011222
51304400102214
6103405243430
712624654525
oct2765710552
91025607500
10400003434
11195878556
12b1b63576
1364b4302c
143b1a5bbc
15251b4809
hex17d7916a

400003434 has 20 divisors (see below), whose sum is σ = 896304354. Its totient is φ = 133334424.

The previous prime is 400003381. The next prime is 400003441. The reversal of 400003434 is 434300004.

It can be written as a sum of positive squares in only one way, i.e., 221861025 + 178142409 = 14895^2 + 13347^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1234417 + ... + 1234740.

Almost surely, 2400003434 is an apocalyptic number.

400003434 is an abundant number, since it is smaller than the sum of its proper divisors (496300920).

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

400003434 is a wasteful number, since it uses less digits than its factorization.

400003434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469171 (or 2469162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400003434 is about 20000.0858498157. The cubic root of 400003434 is about 736.8084082161.

Adding to 400003434 its reverse (434300004), we get a palindrome (834303438).

It can be divided in two parts, 40000 and 3434, that added together give a palindrome (43434).

The spelling of 400003434 in words is "four hundred million, three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 2469157 4938314 7407471 14814942 22222413 44444826 66667239 133334478 200001717 400003434