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34482618090 = 2325834616147
BaseRepresentation
bin100000000111010100…
…101111111011101010
310022000011010111101100
4200013110233323222
51031110022234330
623501402102230
72330340263154
oct400724577352
9108004114340
1034482618090
11136955a2388
1268241aa976
133336c9403b
14195190bad4
15d6c432060
hex80752feea

34482618090 has 48 divisors (see below), whose sum is σ = 90735005088. Its totient is φ = 9084575328.

The previous prime is 34482618073. The next prime is 34482618091. The reversal of 34482618090 is 9081628443.

It is a happy number.

34482618090 is a `hidden beast` number, since 3 + 4 + 482 + 6 + 1 + 80 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34482618091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2300604 + ... + 2315543.

It is an arithmetic number, because the mean of its divisors is an integer number (1890312606).

Almost surely, 234482618090 is an apocalyptic number.

34482618090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34482618090 is an abundant number, since it is smaller than the sum of its proper divisors (56252386998).

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

34482618090 is a wasteful number, since it uses less digits than its factorization.

34482618090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616243 (or 4616240 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34482618090 in words is "thirty-four billion, four hundred eighty-two million, six hundred eighteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 4616147 9232294 13848441 23080735 27696882 41545323 46161470 69242205 83090646 138484410 207726615 383140201 415453230 766280402 1149420603 1915701005 2298841206 3448261809 3831402010 5747103015 6896523618 11494206030 17241309045 34482618090