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302007933 = 36414277
BaseRepresentation
bin10010000000000…
…100011001111101
3210001021121000000
4102000010121331
51104303223213
645545024513
710325011413
oct2200043175
9701247000
10302007933
11145526037
1285185139
134a751a26
142c1772b3
151b7a8c73
hex1200467d

302007933 has 14 divisors (see below), whose sum is σ = 452805854. Its totient is φ = 201338136.

The previous prime is 302007931. The next prime is 302007967. The reversal of 302007933 is 339700203.

It can be written as a sum of positive squares in only one way, i.e., 293025924 + 8982009 = 17118^2 + 2997^2 .

It is not a de Polignac number, because 302007933 - 21 = 302007931 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 302007897 and 302007906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302007931) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 206410 + ... + 207867.

Almost surely, 2302007933 is an apocalyptic number.

It is an amenable number.

302007933 is a deficient number, since it is larger than the sum of its proper divisors (150797921).

302007933 is an frugal number, since it uses more digits than its factorization.

302007933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414295 (or 414280 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 302007933 is about 17378.3754419106. The cubic root of 302007933 is about 670.9231597558.

The spelling of 302007933 in words is "three hundred two million, seven thousand, nine hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 414277 1242831 3728493 11185479 33556437 100669311 302007933