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1034021664 = 253213276181
BaseRepresentation
bin111101101000011…
…110101100100000
32200001200202001200
4331220132230200
54104202143124
6250334401200
734424016264
oct7550365440
92601622050
101034021664
11490750865
1224a360200
131362bc850
149b4860a4
1560ba1bc9
hex3da1eb20

1034021664 has 72 divisors (see below), whose sum is σ = 3166702812. Its totient is φ = 318159360.

The previous prime is 1034021663. The next prime is 1034021671. The reversal of 1034021664 is 4661204301.

1034021664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 812250000 + 221771664 = 28500^2 + 14892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1034021663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134347 + ... + 141834.

Almost surely, 21034021664 is an apocalyptic number.

It is an amenable number.

1034021664 is an abundant number, since it is smaller than the sum of its proper divisors (2132681148).

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

1034021664 is a wasteful number, since it uses less digits than its factorization.

1034021664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276210 (or 276199 counting only the distinct ones).

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

The square root of 1034021664 is about 32156.2072390386. The cubic root of 1034021664 is about 1011.2143235066.

Adding to 1034021664 its reverse (4661204301), we get a palindrome (5695225965).

The spelling of 1034021664 in words is "one billion, thirty-four million, twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 276181 552362 828543 1104724 1657086 2209448 2485629 3314172 3590353 4418896 4971258 6628344 7180706 8837792 9942516 10771059 13256688 14361412 19885032 21542118 26513376 28722824 32313177 39770064 43084236 57445648 64626354 79540128 86168472 114891296 129252708 172336944 258505416 344673888 517010832 1034021664