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1140642304 = 294167811
BaseRepresentation
bin100001111111100…
…1101001000000000
32221111022122002021
41003333031020000
54314001023204
6305103531224
740160204524
oct10377151000
92844278067
101140642304
1153595449a
12279bb9b14
13152410999
14ab6bbd84
156a213154
hex43fcd200

1140642304 has 80 divisors (see below), whose sum is σ = 2372410656. Its totient is φ = 547430400.

The previous prime is 1140642287. The next prime is 1140642311. The reversal of 1140642304 is 4032460411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406059 + ... + 1406869.

Almost surely, 21140642304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186205328).

1140642304 is an abundant number, since it is smaller than the sum of its proper divisors (1231768352).

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

1140642304 is an frugal number, since it uses more digits than its factorization.

1140642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1140642304 is about 33773.3963942035. The cubic root of 1140642304 is about 1044.8400826694.

The spelling of 1140642304 in words is "one billion, one hundred forty million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 67 82 128 134 164 256 268 328 512 536 656 811 1072 1312 1622 2144 2624 2747 3244 4288 5248 5494 6488 8576 10496 10988 12976 17152 20992 21976 25952 33251 34304 43952 51904 54337 66502 87904 103808 108674 133004 175808 207616 217348 266008 351616 415232 434696 532016 703232 869392 1064032 1406464 1738784 2128064 2227817 3477568 4256128 4455634 6955136 8512256 8911268 13910272 17024512 17822536 27820544 35645072 71290144 142580288 285160576 570321152 1140642304