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1045314432 = 2732907391
BaseRepresentation
bin111110010011100…
…011101110000000
32200211221110211100
4332103203232000
54120100030212
6251420414400
734622011641
oct7623435600
92624843740
101045314432
11497064228
122520a7400
13138744966
149cb856c8
1561b82bdc
hex3e4e3b80

1045314432 has 48 divisors (see below), whose sum is σ = 3008004480. Its totient is φ = 348437760.

The previous prime is 1045314427. The next prime is 1045314433. The reversal of 1045314432 is 2344135401.

It is a happy number.

1045314432 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 1045314396 and 1045314405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045314433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 452544 + ... + 454847.

It is an arithmetic number, because the mean of its divisors is an integer number (62666760).

Almost surely, 21045314432 is an apocalyptic number.

1045314432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1045314432 is an abundant number, since it is smaller than the sum of its proper divisors (1962690048).

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

1045314432 is an equidigital number, since it uses as much as digits as its factorization.

1045314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907411 (or 907396 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1045314432 is about 32331.3227691043. The cubic root of 1045314432 is about 1014.8822311531.

Adding to 1045314432 its reverse (2344135401), we get a palindrome (3389449833).

The spelling of 1045314432 in words is "one billion, forty-five million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 907391 1814782 2722173 3629564 5444346 7259128 8166519 10888692 14518256 16333038 21777384 29036512 32666076 43554768 58073024 65332152 87109536 116146048 130664304 174219072 261328608 348438144 522657216 1045314432