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483545034 = 232721733169
BaseRepresentation
bin11100110100100…
…100111111001010
31020200212122002100
4130310210333022
51442241420114
6115552014230
714661031200
oct3464447712
91220778070
10483545034
11228a485a5
12115b31376
137924342b
1448311070
152c6b7909
hex1cd24fca

483545034 has 72 divisors (see below), whose sum is σ = 1226162340. Its totient is φ = 137313792.

The previous prime is 483544961. The next prime is 483545047. The reversal of 483545034 is 430545384.

483545034 is a `hidden beast` number, since 4 + 83 + 545 + 0 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403889409 + 79655625 = 20097^2 + 8925^2 .

It is a super-2 number, since 2×4835450342 = 467631599812122312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 483545034.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151002 + ... + 154170.

Almost surely, 2483545034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483545034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613081170).

483545034 is an abundant number, since it is smaller than the sum of its proper divisors (742617306).

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

483545034 is a wasteful number, since it uses less digits than its factorization.

483545034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 483545034 is about 21989.6574325295. The cubic root of 483545034 is about 784.8963493855.

The spelling of 483545034 in words is "four hundred eighty-three million, five hundred forty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 173 294 346 441 519 882 1038 1211 1557 2422 3114 3169 3633 6338 7266 8477 9507 10899 16954 19014 21798 22183 25431 28521 44366 50862 57042 66549 76293 133098 152586 155281 199647 310562 399294 465843 548237 931686 1096474 1397529 1644711 2795058 3289422 3837659 4934133 7675318 9868266 11512977 23025954 26863613 34538931 53727226 69077862 80590839 161181678 241772517 483545034