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414030401 = 10717921617
BaseRepresentation
bin11000101011011…
…001101001000001
31001212001220221022
4120223121221001
51321442433101
6105030035225
713155125501
oct3053315101
91055056838
10414030401
111a2789194
12b67a8b15
1367a14805
143cdb7a01
1526535a1b
hex18ad9a41

414030401 has 8 divisors (see below), whose sum is σ = 420253920. Its totient is φ = 407850688.

The previous prime is 414030391. The next prime is 414030413. The reversal of 414030401 is 104030414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414030401 - 210 = 414029377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414030401.

It is not an unprimeable number, because it can be changed into a prime (414030301) 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 7 ways as a sum of consecutive naturals, for example, 8345 + ... + 29961.

It is an arithmetic number, because the mean of its divisors is an integer number (52531740).

Almost surely, 2414030401 is an apocalyptic number.

It is an amenable number.

414030401 is a deficient number, since it is larger than the sum of its proper divisors (6223519).

414030401 is a wasteful number, since it uses less digits than its factorization.

414030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21903.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 414030401 is about 20347.7369994798. The cubic root of 414030401 is about 745.3222340710.

Adding to 414030401 its reverse (104030414), we get a palindrome (518060815).

The spelling of 414030401 in words is "four hundred fourteen million, thirty thousand, four hundred one".

Divisors: 1 107 179 19153 21617 2313019 3869443 414030401