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1032114304 = 2713620261
BaseRepresentation
bin111101100001001…
…101000010000000
32122221002211122201
4331201031002000
54103210124204
6250225442544
734401553414
oct7541150200
92587084581
101032114304
1148a668831
122497a0454
13135aa2630
149b10ad44
15609269a4
hex3d84d080

1032114304 has 32 divisors (see below), whose sum is σ = 2214335340. Its totient is φ = 476359680.

The previous prime is 1032114289. The next prime is 1032114311. The reversal of 1032114304 is 4034112301.

Adding to 1032114304 its reverse (4034112301), we get a palindrome (5066226605).

It can be written as a sum of positive squares in 2 ways, for example, as 1031694400 + 419904 = 32120^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 308467 + ... + 311794.

Almost surely, 21032114304 is an apocalyptic number.

It is an amenable number.

1032114304 is an abundant number, since it is smaller than the sum of its proper divisors (1182221036).

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

1032114304 is an equidigital number, since it uses as much as digits as its factorization.

1032114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620288 (or 620276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1032114304 is about 32126.5358232101. The cubic root of 1032114304 is about 1010.5921776457.

The spelling of 1032114304 in words is "one billion, thirty-two million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 620261 1240522 2481044 4962088 8063393 9924176 16126786 19848352 32253572 39696704 64507144 79393408 129014288 258028576 516057152 1032114304