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1143304064 = 277326041
BaseRepresentation
bin100010000100101…
…0110111110000000
32221200022212022222
41010021112332000
54320141212224
6305240550212
740221632000
oct10411267600
92850285288
101143304064
115374022a1
1227aa82368
13152b333a6
14abbb2000
156a58bb5e
hex44256f80

1143304064 has 64 divisors (see below), whose sum is σ = 2656284000. Its totient is φ = 489968640.

The previous prime is 1143304039. The next prime is 1143304073. The reversal of 1143304064 is 4604033411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30884 + ... + 56924.

Almost surely, 21143304064 is an apocalyptic number.

1143304064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328142000).

1143304064 is an abundant number, since it is smaller than the sum of its proper divisors (1512979936).

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

1143304064 is an frugal number, since it uses more digits than its factorization.

1143304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26076 (or 26050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1143304064 is about 33812.7795958865. The cubic root of 1143304064 is about 1045.6521844791.

Adding to 1143304064 its reverse (4604033411), we get a palindrome (5747337475).

The spelling of 1143304064 in words is "one billion, one hundred forty-three million, three hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 21952 26041 43904 52082 104164 182287 208328 364574 416656 729148 833312 1276009 1458296 1666624 2552018 2916592 3333248 5104036 5833184 8932063 10208072 11666368 17864126 20416144 23332736 35728252 40832288 71456504 81664576 142913008 163329152 285826016 571652032 1143304064