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1130400340 = 225414332059
BaseRepresentation
bin100001101100000…
…1000101001010100
32220210001021202021
41003120020221110
54303340302330
6304100222524
740004146546
oct10330105124
92823037667
101130400340
11530099563
1227669aa44
13150265c54
14aa1b3696
156938d67a
hex43608a54

1130400340 has 48 divisors (see below), whose sum is σ = 2488368960. Its totient is φ = 430859520.

The previous prime is 1130400319. The next prime is 1130400361. The reversal of 1130400340 is 430040311.

It is an interprime number because it is at equal distance from previous prime (1130400319) and next prime (1130400361).

It is a super-3 number, since 3×11304003403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 19231 + ... + 51289.

It is an arithmetic number, because the mean of its divisors is an integer number (51841020).

Almost surely, 21130400340 is an apocalyptic number.

1130400340 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 1130400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244184480).

1130400340 is an abundant number, since it is smaller than the sum of its proper divisors (1357968620).

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

1130400340 is a wasteful number, since it uses less digits than its factorization.

1130400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32152 (or 32150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1130400340 is about 33621.4267989923. The cubic root of 1130400340 is about 1041.7034275951.

Adding to 1130400340 its reverse (430040311), we get a palindrome (1560440651).

The spelling of 1130400340 in words is "one billion, one hundred thirty million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1763 3526 7052 8815 17630 32059 35260 64118 128236 160295 320590 641180 1314419 1378537 2628838 2757074 5257676 5514148 6572095 6892685 13144190 13785370 26288380 27570740 56520017 113040034 226080068 282600085 565200170 1130400340