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353402401 = 11217092
BaseRepresentation
bin10101000100000…
…111111000100001
3220121222200221211
4111010013320201
51210432334101
655022350121
711520604462
oct2504077041
9817880854
10353402401
11171539500
129a42b341
13582a7a61
1434d14d69
152105bc51
hex15107e21

353402401 has 9 divisors (see below), whose sum is σ = 388678003. Its totient is φ = 321086920.

The previous prime is 353402359. The next prime is 353402431. The reversal of 353402401 is 104204353.

The square root of 353402401 is 18799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66438801 + 286963600 = 8151^2 + 16940^2 .

It is not a de Polignac number, because 353402401 - 211 = 353400353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353402431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 205935 + ... + 207643.

Almost surely, 2353402401 is an apocalyptic number.

353402401 is the 18799-th square number.

353402401 is the 9400-th centered octagonal number.

It is an amenable number.

353402401 is a deficient number, since it is larger than the sum of its proper divisors (35275602).

353402401 is an frugal number, since it uses more digits than its factorization.

353402401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The cubic root of 353402401 is about 707.0061071249.

Adding to 353402401 its reverse (104204353), we get a palindrome (457606754).

The spelling of 353402401 in words is "three hundred fifty-three million, four hundred two thousand, four hundred one".

Divisors: 1 11 121 1709 18799 206789 2920681 32127491 353402401