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1134608384 = 214713761
BaseRepresentation
bin100001110100000…
…1100000000000000
32221001222002002202
41003220030000000
54310424432014
6304330332332
740055004110
oct10350140000
92831862082
101134608384
11532503088
12277b8a0a8
131510aa410
14aa98b040
15699203de
hex43a0c000

1134608384 has 120 divisors (see below), whose sum is σ = 2796466848. Its totient is φ = 448266240.

The previous prime is 1134608369. The next prime is 1134608393. The reversal of 1134608384 is 4838064311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490564 + ... + 1491324.

Almost surely, 21134608384 is an apocalyptic number.

1134608384 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 1134608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398233424).

1134608384 is an abundant number, since it is smaller than the sum of its proper divisors (1661858464).

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

1134608384 is an frugal number, since it uses more digits than its factorization.

1134608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1134608384 is about 33683.9484621385. The cubic root of 1134608384 is about 1042.9944468100.

The spelling of 1134608384 in words is "one billion, one hundred thirty-four million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 761 832 896 1024 1456 1522 1664 1792 2048 2912 3044 3328 3584 4096 5327 5824 6088 6656 7168 8192 9893 10654 11648 12176 13312 14336 16384 19786 21308 23296 24352 26624 28672 39572 42616 46592 48704 53248 57344 69251 79144 85232 93184 97408 106496 114688 138502 158288 170464 186368 194816 212992 277004 316576 340928 372736 389632 554008 633152 681856 745472 779264 1108016 1266304 1363712 1490944 1558528 2216032 2532608 2727424 3117056 4432064 5065216 5454848 6234112 8864128 10130432 10909696 12468224 17728256 20260864 21819392 35456512 40521728 43638784 70913024 81043456 87277568 141826048 162086912 283652096 567304192 1134608384