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1034230440 = 233525134337
BaseRepresentation
bin111101101001010…
…001101010101000
32200002002100110010
4331221101222220
54104230333230
6250343051520
734425546045
oct7551215250
92602070403
101034230440
11490883701
1224a440ba0
13136363899
149b4dc1cc
1560be39b0
hex3da51aa8

1034230440 has 64 divisors (see below), whose sum is σ = 3115143360. Its totient is φ = 274688000.

The previous prime is 1034230433. The next prime is 1034230447. The reversal of 1034230440 is 440324301.

1034230440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1034230433) and next prime (1034230447).

It is not an unprimeable number, because it can be changed into a prime (1034230447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12952 + ... + 47288.

It is an arithmetic number, because the mean of its divisors is an integer number (48674115).

Almost surely, 21034230440 is an apocalyptic number.

1034230440 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 1034230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557571680).

1034230440 is an abundant number, since it is smaller than the sum of its proper divisors (2080912920).

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

1034230440 is a wasteful number, since it uses less digits than its factorization.

1034230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34602 (or 34598 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1034230440 is about 32159.4533535631. The cubic root of 1034230440 is about 1011.2823759410.

Adding to 1034230440 its reverse (440324301), we get a palindrome (1474554741).

The spelling of 1034230440 in words is "one billion, thirty-four million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 7530 10040 15060 30120 34337 68674 103011 137348 171685 206022 274696 343370 412044 515055 686740 824088 1030110 1373480 2060220 4120440 8618587 17237174 25855761 34474348 43092935 51711522 68948696 86185870 103423044 129278805 172371740 206846088 258557610 344743480 517115220 1034230440