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34410003434372 = 22181224092120917
BaseRepresentation
bin1111101001011101101000…
…00010000000101110000100
311111211120020022011221121102
413310232310002000232010
514002233141334344442
6201103423133435232
710151016651161126
oct764566402005604
9144746208157542
1034410003434372
11aa67222965355
123a38a8063bb18
131627b07196747
1486d64b267216
153ea13a9b8232
hex1f4bb4080b84

34410003434372 has 24 divisors (see below), whose sum is σ = 60552930012120. Its totient is φ = 17109174862080.

The previous prime is 34410003434333. The next prime is 34410003434393. The reversal of 34410003434372 is 27343430001443.

It can be written as a sum of positive squares in 4 ways, for example, as 4631852926276 + 29778150508096 = 2152174^2 + 5456936^2 .

It is a super-2 number, since 2×344100034343722 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15163658 + ... + 17284574.

It is an arithmetic number, because the mean of its divisors is an integer number (2523038750505).

Almost surely, 234410003434372 is an apocalyptic number.

It is an amenable number.

34410003434372 is a deficient number, since it is larger than the sum of its proper divisors (26142926577748).

34410003434372 is a wasteful number, since it uses less digits than its factorization.

34410003434372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143511 (or 2143509 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 38.

The spelling of 34410003434372 in words is "thirty-four trillion, four hundred ten billion, three million, four hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 181 362 724 22409 44818 89636 2120917 4056029 4241834 8112058 8483668 16224116 383885977 767771954 1535543908 47527629053 95055258106 190110516212 8602500858593 17205001717186 34410003434372