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305343432 = 2334471209
BaseRepresentation
bin10010001100110…
…010101111001000
3210021120001110000
4102030302233020
51111131442212
650144323000
710365243042
oct2214625710
9707501400
10305343432
111473a4049
1286313460
134b34bcb4
142c7a4a92
151bc171dc
hex12332bc8

305343432 has 40 divisors (see below), whose sum is σ = 855246150. Its totient is φ = 101780928.

The previous prime is 305343431. The next prime is 305343457. The reversal of 305343432 is 234343503.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 296735076 + 8608356 = 17226^2 + 2934^2 .

It is a super-2 number, since 2×3053434322 = 186469222931077248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 305343396 and 305343405.

It is not an unprimeable number, because it can be changed into a prime (305343431) 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 9 ways as a sum of consecutive naturals, for example, 234957 + ... + 236252.

Almost surely, 2305343432 is an apocalyptic number.

It is an amenable number.

305343432 is an abundant number, since it is smaller than the sum of its proper divisors (549902718).

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

305343432 is a wasteful number, since it uses less digits than its factorization.

305343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471227 (or 471214 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 305343432 is about 17474.0788598427. The cubic root of 305343432 is about 673.3841051369.

Adding to 305343432 its reverse (234343503), we get a palindrome (539686935).

The spelling of 305343432 in words is "three hundred five million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 471209 942418 1413627 1884836 2827254 3769672 4240881 5654508 8481762 11309016 12722643 16963524 25445286 33927048 38167929 50890572 76335858 101781144 152671716 305343432