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1034065632 = 25310771517
BaseRepresentation
bin111101101000101…
…001011011100000
32200001202222101010
4331220221123200
54104210100012
6250335340520
734424261415
oct7550513340
92601688333
101034065632
114907808a6
1224a381740
13136306872
149b49810c
1560baec3c
hex3da296e0

1034065632 has 24 divisors (see below), whose sum is σ = 2714422536. Its totient is φ = 344688512.

The previous prime is 1034065631. The next prime is 1034065651. The reversal of 1034065632 is 2365604301.

1034065632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1034065632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034065631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5385663 + ... + 5385854.

It is an arithmetic number, because the mean of its divisors is an integer number (113100939).

Almost surely, 21034065632 is an apocalyptic number.

1034065632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034065632 is an abundant number, since it is smaller than the sum of its proper divisors (1680356904).

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

1034065632 is a wasteful number, since it uses less digits than its factorization.

1034065632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10771530 (or 10771522 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1034065632 is about 32156.8908944879. The cubic root of 1034065632 is about 1011.2286560371.

Adding to 1034065632 its reverse (2365604301), we get a palindrome (3399669933).

The spelling of 1034065632 in words is "one billion, thirty-four million, sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10771517 21543034 32314551 43086068 64629102 86172136 129258204 172344272 258516408 344688544 517032816 1034065632