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34023003444 = 2232953991693
BaseRepresentation
bin11111101011111011…
…011101010100110100
310020211010021122121200
4133223323131110310
51024134342102234
623344023012500
72313056520603
oct375373352464
9106733248550
1034023003444
111347a10a071
12671629a130
1332929ac001
14190a869a3a
15d41de4d99
hex7ebedd534

34023003444 has 36 divisors (see below), whose sum is σ = 86092922916. Its totient is φ = 11329089408.

The previous prime is 34023003361. The next prime is 34023003481. The reversal of 34023003444 is 44430032043.

It can be written as a sum of positive squares in 2 ways, for example, as 17705495844 + 16317507600 = 133062^2 + 127740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×340230034442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461539 + ... + 530154.

It is an arithmetic number, because the mean of its divisors is an integer number (2391470081).

Almost surely, 234023003444 is an apocalyptic number.

It is an amenable number.

34023003444 is an abundant number, since it is smaller than the sum of its proper divisors (52069919472).

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

34023003444 is a wasteful number, since it uses less digits than its factorization.

34023003444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992656 (or 992651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34023003444 its reverse (44430032043), we get a palindrome (78453035487).

The spelling of 34023003444 in words is "thirty-four billion, twenty-three million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 953 1906 2859 3812 5718 8577 11436 17154 34308 991693 1983386 2975079 3966772 5950158 8925237 11900316 17850474 35700948 945083429 1890166858 2835250287 3780333716 5670500574 8505750861 11341001148 17011501722 34023003444