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34404100401 = 3112813710137
BaseRepresentation
bin100000000010101001…
…001110100100110001
310021210200101101100210
4200002221032210301
51030424422203101
623445515134333
72325365012466
oct400251164461
9107720341323
1034404100401
1113655243930
126801a443a9
133323932578
14194530d66d
15d655c27d6
hex802a4e931

34404100401 has 16 divisors (see below), whose sum is σ = 50220427968. Its totient is φ = 20776761600.

The previous prime is 34404100391. The next prime is 34404100403. The reversal of 34404100401 is 10400140443.

It is not a de Polignac number, because 34404100401 - 210 = 34404099377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34404100403) 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 15 ways as a sum of consecutive naturals, for example, 1845796 + ... + 1864341.

It is an arithmetic number, because the mean of its divisors is an integer number (3138776748).

Almost surely, 234404100401 is an apocalyptic number.

It is an amenable number.

34404100401 is a deficient number, since it is larger than the sum of its proper divisors (15816327567).

34404100401 is a wasteful number, since it uses less digits than its factorization.

34404100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710432.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34404100401 its reverse (10400140443), we get a palindrome (44804240844).

The spelling of 34404100401 in words is "thirty-four billion, four hundred four million, one hundred thousand, four hundred one".

Divisors: 1 3 11 33 281 843 3091 9273 3710137 11130411 40811507 122434521 1042548497 3127645491 11468033467 34404100401