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305934420 = 223511463537
BaseRepresentation
bin10010001111000…
…011000001010100
3210022200002010110
4102033003001110
51111304400140
650205123020
710403254041
oct2217030124
9708602113
10305934420
11147768070
1286559470
134b4c7cac
142c8ba1c8
151bcd2380
hex123c3054

305934420 has 48 divisors (see below), whose sum is σ = 934492608. Its totient is φ = 74165760.

The previous prime is 305934401. The next prime is 305934451. The reversal of 305934420 is 24439503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231109 + ... + 232428.

It is an arithmetic number, because the mean of its divisors is an integer number (19468596).

Almost surely, 2305934420 is an apocalyptic number.

305934420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305934420 is an abundant number, since it is smaller than the sum of its proper divisors (628558188).

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

305934420 is a wasteful number, since it uses less digits than its factorization.

305934420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463560 (or 463558 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 305934420 is about 17490.9811045579. The cubic root of 305934420 is about 673.8182670342.

The spelling of 305934420 in words is "three hundred five million, nine hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 463537 927074 1390611 1854148 2317685 2781222 4635370 5098907 5562444 6953055 9270740 10197814 13906110 15296721 20395628 25494535 27812220 30593442 50989070 61186884 76483605 101978140 152967210 305934420