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305440421 = 11213277701
BaseRepresentation
bin10010001101001…
…010011010100101
3210021201222111012
4102031022122211
51111143043141
650150352005
710366125566
oct2215123245
9707658435
10305440421
1114745aa00
128635b605
134b3841a0
142c7cc16d
151bc35ceb
hex1234a6a5

305440421 has 24 divisors (see below), whose sum is σ = 363380472. Its totient is φ = 255024000.

The previous prime is 305440417. The next prime is 305440453. The reversal of 305440421 is 124044503.

It can be written as a sum of positive squares in 4 ways, for example, as 14737921 + 290702500 = 3839^2 + 17050^2 .

It is not a de Polignac number, because 305440421 - 22 = 305440417 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305440021) by changing a digit.

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, 435371 + ... + 436071.

It is an arithmetic number, because the mean of its divisors is an integer number (15140853).

Almost surely, 2305440421 is an apocalyptic number.

It is an amenable number.

305440421 is a deficient number, since it is larger than the sum of its proper divisors (57940051).

305440421 is a wasteful number, since it uses less digits than its factorization.

305440421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 305440421 is about 17476.8538644689. The cubic root of 305440421 is about 673.4553952868.

Adding to 305440421 its reverse (124044503), we get a palindrome (429484924).

The spelling of 305440421 in words is "three hundred five million, four hundred forty thousand, four hundred twenty-one".

Divisors: 1 11 13 121 143 277 701 1573 3047 3601 7711 9113 33517 39611 84821 100243 194177 435721 1102673 2135947 2524301 23495417 27767311 305440421