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1134301000 = 2353733307
BaseRepresentation
bin100001110011100…
…0000111101001000
32221001101110110011
41003213000331020
54310340113000
6304320001304
740052254000
oct10347007510
92831343404
101134301000
11532313148
12277a60234
13151000531
14aa90b000
15698ae2ba
hex439c0f48

1134301000 has 128 divisors (see below), whose sum is σ = 3096288000. Its totient is φ = 388785600.

The previous prime is 1134300949. The next prime is 1134301001. The reversal of 1134301000 is 1034311.

It is not an unprimeable number, because it can be changed into a prime (1134301001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 341347 + ... + 344653.

It is an arithmetic number, because the mean of its divisors is an integer number (24189750).

Almost surely, 21134301000 is an apocalyptic number.

1134301000 is a gapful number since it is divisible by the number (10) 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 1134301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548144000).

1134301000 is an abundant number, since it is smaller than the sum of its proper divisors (1961987000).

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

1134301000 is an equidigital number, since it uses as much as digits as its factorization.

1134301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1134301000 is about 33679.3853863161. The cubic root of 1134301000 is about 1042.9002502086.

Adding to 1134301000 its reverse (1034311), we get a palindrome (1135335311).

The spelling of 1134301000 in words is "one billion, one hundred thirty-four million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 343 350 392 490 500 686 700 875 980 1000 1225 1372 1400 1715 1750 1960 2450 2744 3307 3430 3500 4900 6125 6614 6860 7000 8575 9800 12250 13228 13720 16535 17150 23149 24500 26456 33070 34300 42875 46298 49000 66140 68600 82675 85750 92596 115745 132280 162043 165350 171500 185192 231490 324086 330700 343000 413375 462980 578725 648172 661400 810215 826750 925960 1134301 1157450 1296344 1620430 1653500 2268602 2314900 2893625 3240860 3307000 4051075 4537204 4629800 5671505 5787250 6481720 8102150 9074408 11343010 11574500 16204300 20255375 22686020 23149000 28357525 32408600 40510750 45372040 56715050 81021500 113430100 141787625 162043000 226860200 283575250 567150500 1134301000