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1004312322 = 232134291933
BaseRepresentation
bin111011110111001…
…001011100000010
32120222210100111200
4323313021130002
54024100443242
6243353522030
733613341156
oct7367113402
92528710450
101004312322
114759a9792
12240413316
131300b9c60
1497551066
155d28404c
hex3bdc9702

1004312322 has 24 divisors (see below), whose sum is σ = 2343395964. Its totient is φ = 309019104.

The previous prime is 1004312303. The next prime is 1004312329. The reversal of 1004312322 is 2232134001.

1004312322 is a `hidden beast` number, since 1 + 0 + 0 + 431 + 232 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 994708521 + 9603801 = 31539^2 + 3099^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004312295 and 1004312304.

It is not an unprimeable number, because it can be changed into a prime (1004312329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2145733 + ... + 2146200.

Almost surely, 21004312322 is an apocalyptic number.

1004312322 is an abundant number, since it is smaller than the sum of its proper divisors (1339083642).

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

1004312322 is a wasteful number, since it uses less digits than its factorization.

1004312322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291954 (or 4291951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1004312322 is about 31690.8870497498. The cubic root of 1004312322 is about 1001.4353793670.

Adding to 1004312322 its reverse (2232134001), we get a palindrome (3236446323).

The spelling of 1004312322 in words is "one billion, four million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4291933 8583866 12875799 25751598 38627397 55795129 77254794 111590258 167385387 334770774 502156161 1004312322