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34023214044 = 223217192925973
BaseRepresentation
bin11111101011111100…
…010000101111011100
310020211010200100111200
4133223330100233130
51024134420322134
623344031315500
72313061355601
oct375374205734
9106733610450
1034023214044
111347a243316
12671637bb90
133292a53b21
14190a8c26a8
15d41e37499
hex7ebf10bdc

34023214044 has 72 divisors (see below), whose sum is σ = 95854908240. Its totient is φ = 10112159232.

The previous prime is 34023214007. The next prime is 34023214073. The reversal of 34023214044 is 44041232043.

It is a happy number.

34023214044 is a `hidden beast` number, since 3 + 402 + 3 + 214 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34023213999 and 34023214017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451359 + ... + 1474614.

It is an arithmetic number, because the mean of its divisors is an integer number (1331318170).

Almost surely, 234023214044 is an apocalyptic number.

34023214044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34023214044 is an abundant number, since it is smaller than the sum of its proper divisors (61831694196).

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

34023214044 is a wasteful number, since it uses less digits than its factorization.

34023214044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926019 (or 2926014 counting only the distinct ones).

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

Adding to 34023214044 its reverse (44041232043), we get a palindrome (78064446087).

The spelling of 34023214044 in words is "thirty-four billion, twenty-three million, two hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 2925973 5851946 8777919 11703892 17555838 26333757 35111676 49741541 52667514 55593487 99483082 105335028 111186974 149224623 166780461 198966164 222373948 298449246 333560922 447673869 500341383 596898492 667121844 895347738 945089279 1000682766 1790695476 1890178558 2001365532 2835267837 3780357116 5670535674 8505803511 11341071348 17011607022 34023214044