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2034030432 = 25373026831
BaseRepresentation
bin111100100111100…
…1101011101100000
312020202101110012110
41321033031131200
513131202433212
6533500155320
7101255654610
oct17117153540
95222343173
102034030432
11954180195
12489238b40
13265530a05
141541d6a40
15bd885a3c
hex793cd760

2034030432 has 48 divisors (see below), whose sum is σ = 6102093312. Its totient is φ = 581151360.

The previous prime is 2034030431. The next prime is 2034030437. The reversal of 2034030432 is 2340304302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2034030399 and 2034030408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034030431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512744 + ... + 1514087.

It is an arithmetic number, because the mean of its divisors is an integer number (127126944).

Almost surely, 22034030432 is an apocalyptic number.

It is an amenable number.

2034030432 is an abundant number, since it is smaller than the sum of its proper divisors (4068062880).

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

2034030432 is a wasteful number, since it uses less digits than its factorization.

2034030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026851 (or 3026843 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2034030432 is about 45100.2265182782. The cubic root of 2034030432 is about 1267.0268417424.

Adding to 2034030432 its reverse (2340304302), we get a palindrome (4374334734).

The spelling of 2034030432 in words is "two billion, thirty-four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3026831 6053662 9080493 12107324 18160986 21187817 24214648 36321972 42375634 48429296 63563451 72643944 84751268 96858592 127126902 145287888 169502536 254253804 290575776 339005072 508507608 678010144 1017015216 2034030432