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305525040 = 24351273021
BaseRepresentation
bin10010001101011…
…111000100110000
3210021220021120020
4102031133010300
51111203300130
650152243440
710366630362
oct2215370460
9707807506
10305525040
11147508537
12863a0580
134b3b3862
142c810d32
151bc50e10
hex1235f130

305525040 has 40 divisors (see below), whose sum is σ = 947128368. Its totient is φ = 81473280.

The previous prime is 305525039. The next prime is 305525053. The reversal of 305525040 is 40525503.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 305525040.

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 7 ways as a sum of consecutive naturals, for example, 636271 + ... + 636750.

Almost surely, 2305525040 is an apocalyptic number.

305525040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305525040 is an abundant number, since it is smaller than the sum of its proper divisors (641603328).

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

305525040 is a wasteful number, since it uses less digits than its factorization.

305525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273037 (or 1273031 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 305525040 is about 17479.2745844901. The cubic root of 305525040 is about 673.5175807480.

The spelling of 305525040 in words is "three hundred five million, five hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1273021 2546042 3819063 5092084 6365105 7638126 10184168 12730210 15276252 19095315 20368336 25460420 30552504 38190630 50920840 61105008 76381260 101841680 152762520 305525040