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1034303440 = 24515782349
BaseRepresentation
bin111101101001100…
…011011111010000
32200002020001120211
4331221203133100
54104240202230
6250344413504
734426301632
oct7551433720
92602201524
101034303440
11490923535
1224a477294
1313638ab91
149b51aa52
1560c0a42a
hex3da637d0

1034303440 has 40 divisors (see below), whose sum is σ = 2420101800. Its totient is φ = 411081216.

The previous prime is 1034303429. The next prime is 1034303441. The reversal of 1034303440 is 443034301.

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 933180304 = 10056^2 + 30548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034303441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28615 + ... + 53734.

It is an arithmetic number, because the mean of its divisors is an integer number (60502545).

Almost surely, 21034303440 is an apocalyptic number.

1034303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034303440 is an abundant number, since it is smaller than the sum of its proper divisors (1385798360).

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

1034303440 is a wasteful number, since it uses less digits than its factorization.

1034303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82519 (or 82513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1034303440 is about 32160.5883030768. The cubic root of 1034303440 is about 1011.3061687934.

Adding to 1034303440 its reverse (443034301), we get a palindrome (1477337741).

The spelling of 1034303440 in words is "one billion, thirty-four million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 82349 164698 329396 411745 658792 823490 1317584 1646980 3293960 6587920 12928793 25857586 51715172 64643965 103430344 129287930 206860688 258575860 517151720 1034303440