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1034440000 = 2654112351
BaseRepresentation
bin111101101010000…
…100110101000000
32200002110222220121
4331222010311000
54104304040000
6250351350024
734430411026
oct7552046500
92602428817
101034440000
11490a070a0
1224a522314
13136408099
149b554716
1560c35b1a
hex3da84d40

1034440000 has 140 divisors (see below), whose sum is σ = 2799453888. Its totient is φ = 376000000.

The previous prime is 1034439977. The next prime is 1034440007. The reversal of 1034440000 is 444301.

It is a super-2 number, since 2×10344400002 = 2140132227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034440007) 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 19 ways as a sum of consecutive naturals, for example, 438825 + ... + 441175.

Almost surely, 21034440000 is an apocalyptic number.

1034440000 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 1034440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399726944).

1034440000 is an abundant number, since it is smaller than the sum of its proper divisors (1765013888).

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

1034440000 is an equidigital number, since it uses as much as digits as its factorization.

1034440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1034440000 is about 32162.7113284934. The cubic root of 1034440000 is about 1011.3506747181.

Adding to 1034440000 its reverse (444301), we get a palindrome (1034884301).

The spelling of 1034440000 in words is "one billion, thirty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2351 2500 2750 3520 4000 4400 4702 5000 5500 6875 8000 8800 9404 10000 11000 11755 13750 17600 18808 20000 22000 23510 25861 27500 37616 40000 44000 47020 51722 55000 58775 75232 88000 94040 103444 110000 117550 129305 150464 188080 206888 220000 235100 258610 293875 376160 413776 440000 470200 517220 587750 646525 752320 827552 940400 1034440 1175500 1293050 1469375 1655104 1880800 2068880 2351000 2586100 2938750 3232625 3761600 4137760 4702000 5172200 5877500 6465250 8275520 9404000 10344400 11755000 12930500 16163125 18808000 20688800 23510000 25861000 32326250 41377600 47020000 51722000 64652500 94040000 103444000 129305000 206888000 258610000 517220000 1034440000