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1034228736 = 2103437337
BaseRepresentation
bin111101101001010…
…001010000000000
32200002002021010000
4331221101100000
54104230304421
6250343040000
734425541062
oct7551212000
92602067100
101034228736
114908823a2
1224a440000
13136362b88
149b4db732
1560be3226
hex3da51400

1034228736 has 220 divisors, whose sum is σ = 3181291828. Its totient is φ = 334430208.

The previous prime is 1034228717. The next prime is 1034228743. The reversal of 1034228736 is 6378224301.

It is a happy number.

1034228736 is a `hidden beast` number, since 1 + 0 + 342 + 287 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 627803136 + 406425600 = 25056^2 + 20160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1034228736.

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 19 ways as a sum of consecutive naturals, for example, 3068760 + ... + 3069096.

Almost surely, 21034228736 is an apocalyptic number.

1034228736 is a gapful number since it is divisible by the number (16) 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 1034228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590645914).

1034228736 is an abundant number, since it is smaller than the sum of its proper divisors (2147063092).

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

1034228736 is an equidigital number, since it uses as much as digits as its factorization.

1034228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1034228736 is about 32159.4268605645. The cubic root of 1034228736 is about 1011.2818205438.

The spelling of 1034228736 in words is "one billion, thirty-four million, two hundred twenty-eight thousand, seven hundred thirty-six".