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1283742304 = 251329106411
BaseRepresentation
bin100110010000100…
…0101101001100000
310022110120212101021
41030201011221200
510112114223204
6331215015224
743545425635
oct11441055140
93273525337
101283742304
115a9703659
122b9b0a514
13175c65040
14c26cc18c
1577a7d154
hex4c845a60

1283742304 has 48 divisors (see below), whose sum is σ = 2815661520. Its totient is φ = 572060160.

The previous prime is 1283742247. The next prime is 1283742323. The reversal of 1283742304 is 4032473821.

It is a self number, because there is not a number n which added to its sum of digits gives 1283742304.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41142 + ... + 65269.

It is an arithmetic number, because the mean of its divisors is an integer number (58659615).

Almost surely, 21283742304 is an apocalyptic number.

It is an amenable number.

1283742304 is an abundant number, since it is smaller than the sum of its proper divisors (1531919216).

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

1283742304 is a wasteful number, since it uses less digits than its factorization.

1283742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106463 (or 106455 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 1283742304 is about 35829.3497568683. The cubic root of 1283742304 is about 1086.8241604106.

The spelling of 1283742304 in words is "one billion, two hundred eighty-three million, seven hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 106411 212822 425644 851288 1383343 1702576 2766686 3085919 3405152 5533372 6171838 11066744 12343676 22133488 24687352 40116947 44266976 49374704 80233894 98749408 160467788 320935576 641871152 1283742304