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34010135524 = 2237373773797
BaseRepresentation
bin11111101011001010…
…010111101111100100
310020210020001220011001
4133223022113233210
51024123043314044
623342443123044
72312542245031
oct375312275744
9106706056131
1034010135524
1113472920222
126711b13484
133290124c61
141908c7a388
15d40c022d4
hex7eb297be4

34010135524 has 48 divisors (see below), whose sum is σ = 61446491568. Its totient is φ = 16459089408.

The previous prime is 34010135483. The next prime is 34010135531. The reversal of 34010135524 is 42553101043.

It can be written as a sum of positive squares in 8 ways, for example, as 18576100 + 33991559424 = 4310^2 + 184368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34010135492 and 34010135501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42672294 + ... + 42673090.

It is an arithmetic number, because the mean of its divisors is an integer number (1280135241).

Almost surely, 234010135524 is an apocalyptic number.

It is an amenable number.

34010135524 is a deficient number, since it is larger than the sum of its proper divisors (27436356044).

34010135524 is a wasteful number, since it uses less digits than its factorization.

34010135524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 34010135524 its reverse (42553101043), we get a palindrome (76563236567).

The spelling of 34010135524 in words is "thirty-four billion, ten million, one hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 37 74 148 373 746 773 797 1492 1546 1594 3092 3188 13801 27602 28601 29489 55204 57202 58978 114404 117956 288329 297281 576658 594562 616081 1153316 1189124 1232162 2464324 10668173 10999397 21336346 21998794 22794997 42672692 43997588 45589994 91179988 229798213 459596426 919192852 8502533881 17005067762 34010135524