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34100404434 = 233631488971
BaseRepresentation
bin11111110000100010…
…101110000011010010
310021000111221000211000
4133300202232003102
51024314200420214
623355430002430
72315016440505
oct376042560322
9107014830730
1034100404434
1113509875628
1267381a6416
1332a5a3c405
141916c5713c
15d48ad3809
hex7f08ae0d2

34100404434 has 16 divisors (see below), whose sum is σ = 75778676640. Its totient is φ = 11366801460.

The previous prime is 34100404309. The next prime is 34100404439. The reversal of 34100404434 is 43440400143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34100404398 and 34100404407.

It is not an unprimeable number, because it can be changed into a prime (34100404439) 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 7 ways as a sum of consecutive naturals, for example, 315744432 + ... + 315744539.

It is an arithmetic number, because the mean of its divisors is an integer number (4736167290).

Almost surely, 234100404434 is an apocalyptic number.

34100404434 is an abundant number, since it is smaller than the sum of its proper divisors (41678272206).

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

34100404434 is a wasteful number, since it uses less digits than its factorization.

34100404434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631488982 (or 631488976 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34100404434 its reverse (43440400143), we get a palindrome (77540804577).

The spelling of 34100404434 in words is "thirty-four billion, one hundred million, four hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 631488971 1262977942 1894466913 3788933826 5683400739 11366801478 17050202217 34100404434