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34034440221 = 335979270443
BaseRepresentation
bin11111101100100111…
…000101100000011101
310020211220210200221000
4133230213011200131
51024200304041341
623345112100513
72313255653145
oct375447054035
9106756720830
1034034440221
1113485610751
12671a094739
133295184832
14190c1a5925
15d42e038b6
hex7ec9c581d

34034440221 has 32 divisors (see below), whose sum is σ = 51925248000. Its totient is φ = 22022632944.

The previous prime is 34034440201. The next prime is 34034440369. The reversal of 34034440221 is 12204443043.

It is a happy number.

It is not a de Polignac number, because 34034440221 - 26 = 34034440157 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034440201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9375 + ... + 261068.

It is an arithmetic number, because the mean of its divisors is an integer number (1622664000).

Almost surely, 234034440221 is an apocalyptic number.

It is an amenable number.

34034440221 is a deficient number, since it is larger than the sum of its proper divisors (17890807779).

34034440221 is a wasteful number, since it uses less digits than its factorization.

34034440221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270590 (or 270584 counting only the distinct ones).

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

Adding to 34034440221 its reverse (12204443043), we get a palindrome (46238883264).

The spelling of 34034440221 in words is "thirty-four billion, thirty-four million, four hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 59 79 177 237 531 711 1593 2133 4661 13983 41949 125847 270443 811329 2433987 7301961 15956137 21364997 47868411 64094991 143605233 192284973 430815699 576854919 1260534823 3781604469 11344813407 34034440221