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1093242304 = 267111631361
BaseRepresentation
bin100000100101001…
…1000110111000000
32211012010110111201
41001022120313000
54214332223204
6300251550544
736043256230
oct10112306700
92735113451
101093242304
1151111a140
1226615b454
13145655b4b
14a529dcc0
1565e9d9a4
hex41298dc0

1093242304 has 112 divisors (see below), whose sum is σ = 2723302656. Its totient is φ = 423014400.

The previous prime is 1093242299. The next prime is 1093242313. The reversal of 1093242304 is 4032423901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 802584 + ... + 803944.

Almost surely, 21093242304 is an apocalyptic number.

1093242304 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 1093242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361651328).

1093242304 is an abundant number, since it is smaller than the sum of its proper divisors (1630060352).

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

1093242304 is a wasteful number, since it uses less digits than its factorization.

1093242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1093242304 is about 33064.2148553387. The cubic root of 1093242304 is about 1030.1618823702.

It can be divided in two parts, 109324 and 2304, that added together give a triangular number (111628 = T472).

The spelling of 1093242304 in words is "one billion, ninety-three million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 163 176 224 308 326 352 448 616 652 704 1141 1232 1304 1361 1793 2282 2464 2608 2722 3586 4564 4928 5216 5444 7172 9128 9527 10432 10888 12551 14344 14971 18256 19054 21776 25102 28688 29942 36512 38108 43552 50204 57376 59884 73024 76216 87104 100408 104797 114752 119768 152432 200816 209594 221843 239536 304864 401632 419188 443686 479072 609728 803264 838376 887372 958144 1552901 1676752 1774744 2440273 3105802 3353504 3549488 4880546 6211604 6707008 7098976 9761092 12423208 14197952 17081911 19522184 24846416 34163822 39044368 49692832 68327644 78088736 99385664 136655288 156177472 273310576 546621152 1093242304