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1004312032 = 25191651829
BaseRepresentation
bin111011110111001…
…001010111100000
32120222210100002221
4323313021113200
54024100441112
6243353520424
733613340263
oct7367112740
92528710087
101004312032
114759a9549
12240413114
131300b9a99
1497550cda
155d283e07
hex3bdc95e0

1004312032 has 24 divisors (see below), whose sum is σ = 2081305800. Its totient is φ = 475726464.

The previous prime is 1004312017. The next prime is 1004312033. The reversal of 1004312032 is 2302134001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1004311997 and 1004312015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004312033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825307 + ... + 826522.

It is an arithmetic number, because the mean of its divisors is an integer number (86721075).

Almost surely, 21004312032 is an apocalyptic number.

It is an amenable number.

1004312032 is an abundant number, since it is smaller than the sum of its proper divisors (1076993768).

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

1004312032 is a wasteful number, since it uses less digits than its factorization.

1004312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651858 (or 1651850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1004312032 is about 31690.8824743017. The cubic root of 1004312032 is about 1001.4352829772.

Adding to 1004312032 its reverse (2302134001), we get a palindrome (3306446033).

The spelling of 1004312032 in words is "one billion, four million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1651829 3303658 6607316 13214632 26429264 31384751 52858528 62769502 125539004 251078008 502156016 1004312032