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1105742304 = 25324781689
BaseRepresentation
bin100000111101000…
…0100100111100000
32212001122112021200
41001322010213200
54231032223204
6301415521200
736254440332
oct10172044740
92761575250
101105742304
11518187617
1226a389200
131481115b4
14a6bd5452
156711c539
hex41e849e0

1105742304 has 72 divisors (see below), whose sum is σ = 3211397280. Its totient is φ = 360734208.

The previous prime is 1105742279. The next prime is 1105742321. The reversal of 1105742304 is 4032475011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27309 + ... + 54380.

It is an arithmetic number, because the mean of its divisors is an integer number (44602740).

Almost surely, 21105742304 is an apocalyptic number.

It is an amenable number.

1105742304 is an abundant number, since it is smaller than the sum of its proper divisors (2105654976).

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

1105742304 is a wasteful number, since it uses less digits than its factorization.

1105742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81752 (or 81741 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1105742304 is about 33252.7037096234. The cubic root of 1105742304 is about 1034.0732613234.

It can be divided in two parts, 11057 and 42304, that added together give a square (53361 = 2312).

The spelling of 1105742304 in words is "one billion, one hundred five million, seven hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 81689 163378 245067 326756 490134 653512 735201 980268 1307024 1470402 1960536 2614048 2940804 3839383 3921072 5881608 7678766 7842144 11518149 11763216 15357532 23036298 23526432 30715064 34554447 46072596 61430128 69108894 92145192 122860256 138217788 184290384 276435576 368580768 552871152 1105742304