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1034203680 = 25335415839
BaseRepresentation
bin111101101001001…
…011001000100000
32200002000222202000
4331221023020200
54104224004210
6250342324000
734425405036
oct7551131040
92602028660
101034203680
11490865594
1224a429600
13136354653
149b4d2556
1560bdaac0
hex3da4b220

1034203680 has 192 divisors, whose sum is σ = 3708633600. Its totient is φ = 269015040.

The previous prime is 1034203673. The next prime is 1034203693. The reversal of 1034203680 is 863024301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 174201 + ... + 180039.

It is an arithmetic number, because the mean of its divisors is an integer number (19315800).

Almost surely, 21034203680 is an apocalyptic number.

1034203680 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 1034203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854316800).

1034203680 is an abundant number, since it is smaller than the sum of its proper divisors (2674429920).

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

1034203680 is a wasteful number, since it uses less digits than its factorization.

1034203680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1034203680 is about 32159.0372990237. The cubic root of 1034203680 is about 1011.2736537876.

Adding to 1034203680 its reverse (863024301), we get a palindrome (1897227981).

The spelling of 1034203680 in words is "one billion, thirty-four million, two hundred three thousand, six hundred eighty".