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305005530 = 23523219219
BaseRepresentation
bin10010001011100…
…000001111011010
3210020220212221010
4102023200033122
51111040134110
650133154350
710362334644
oct2213401732
9706825833
10305005530
11147193195
128618b9b6
134b26125b
142c717894
151bb9c020
hex122e03da

305005530 has 48 divisors (see below), whose sum is σ = 765263520. Its totient is φ = 77794464.

The previous prime is 305005529. The next prime is 305005567. The reversal of 305005530 is 35500503.

It is a junction number, because it is equal to n+sod(n) for n = 305005497 and 305005506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6261 + ... + 25479.

It is an arithmetic number, because the mean of its divisors is an integer number (15942990).

Almost surely, 2305005530 is an apocalyptic number.

305005530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305005530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382631760).

305005530 is an abundant number, since it is smaller than the sum of its proper divisors (460257990).

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

305005530 is a wasteful number, since it uses less digits than its factorization.

305005530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 21.

The square root of 305005530 is about 17464.4075192948. The cubic root of 305005530 is about 673.1356179178.

The spelling of 305005530 in words is "three hundred five million, five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1058 1587 2645 3174 5290 7935 15870 19219 38438 57657 96095 115314 192190 288285 442037 576570 884074 1326111 2210185 2652222 4420370 6630555 10166851 13261110 20333702 30500553 50834255 61001106 101668510 152502765 305005530