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1133004340 = 2251315128859
BaseRepresentation
bin100001110001000…
…0100011000110100
32220221221120202201
41003202010120310
54310022114330
6304232114244
740035243436
oct10342043064
92827846681
101133004340
11531607a26
12277535984
13150968290
14aa690656
1569704eca
hex43884634

1133004340 has 48 divisors (see below), whose sum is σ = 2579391360. Its totient is φ = 415555200.

The previous prime is 1133004251. The next prime is 1133004349. The reversal of 1133004340 is 434003311.

1133004340 = 3002 + 3012 + ... + 15072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133004349) by changing a digit.

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, 24831 + ... + 53689.

It is an arithmetic number, because the mean of its divisors is an integer number (53737320).

Almost surely, 21133004340 is an apocalyptic number.

1133004340 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 1133004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289695680).

1133004340 is an abundant number, since it is smaller than the sum of its proper divisors (1446387020).

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

1133004340 is a wasteful number, since it uses less digits than its factorization.

1133004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032 (or 29030 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1133004340 is about 33660.1298274383. The cubic root of 1133004340 is about 1042.5027065088.

Adding to 1133004340 its reverse (434003311), we get a palindrome (1567007651).

The spelling of 1133004340 in words is "one billion, one hundred thirty-three million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1963 3020 3926 7852 9815 19630 28859 39260 57718 115436 144295 288590 375167 577180 750334 1500668 1875835 3751670 4357709 7503340 8715418 17430836 21788545 43577090 56650217 87154180 113300434 226600868 283251085 566502170 1133004340