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1145034432 = 26323176271
BaseRepresentation
bin100010000111111…
…1101011011000000
32221210120202221200
41010033331123000
54321112100212
6305342021200
740242426543
oct10417753300
92853522850
101145034432
11538384353
1227b577800
131532bab89
14ac10285a
156a7ce6dc
hex443fd6c0

1145034432 has 84 divisors (see below), whose sum is σ = 3292912896. Its totient is φ = 380413440.

The previous prime is 1145034403. The next prime is 1145034437. The reversal of 1145034432 is 2344305411.

It is a happy number.

1145034432 is a `hidden beast` number, since 114 + 503 + 4 + 43 + 2 = 666.

It is a super-2 number, since 2×11450344322 = 2622207700931125248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145034396 and 1145034405.

It is not an unprimeable number, because it can be changed into a prime (1145034437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179457 + ... + 185727.

It is an arithmetic number, because the mean of its divisors is an integer number (39201344).

Almost surely, 21145034432 is an apocalyptic number.

1145034432 is a gapful number since it is divisible by the number (12) 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 1145034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646456448).

1145034432 is an abundant number, since it is smaller than the sum of its proper divisors (2147878464).

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

1145034432 is a wasteful number, since it uses less digits than its factorization.

1145034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1145034432 is about 33838.3574069428. The cubic root of 1145034432 is about 1046.1794431764.

Adding to 1145034432 its reverse (2344305411), we get a palindrome (3489339843).

The spelling of 1145034432 in words is "one billion, one hundred forty-five million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 317 576 634 951 1268 1902 2536 2853 3804 5072 5706 6271 7608 10144 11412 12542 15216 18813 20288 22824 25084 30432 37626 45648 50168 56439 60864 75252 91296 100336 112878 150504 182592 200672 225756 301008 401344 451512 602016 903024 1204032 1806048 1987907 3612096 3975814 5963721 7951628 11927442 15903256 17891163 23854884 31806512 35782326 47709768 63613024 71564652 95419536 127226048 143129304 190839072 286258608 381678144 572517216 1145034432