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2034034032 = 243127333667
BaseRepresentation
bin111100100111100…
…1110010101110000
312020202101122010210
41321033032111300
513131203042112
6533500224120
7101256001242
oct17117162560
95222348123
102034034032
11954182968
1248923b040
13265532544
141541d8092
15bd886b3c
hex793ce570

2034034032 has 40 divisors (see below), whose sum is σ = 5295978496. Its totient is φ = 672670656.

The previous prime is 2034034021. The next prime is 2034034033. The reversal of 2034034032 is 2304304302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034034033) 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, 160738 + ... + 172929.

Almost surely, 22034034032 is an apocalyptic number.

It is an amenable number.

2034034032 is an abundant number, since it is smaller than the sum of its proper divisors (3261944464).

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

2034034032 is a wasteful number, since it uses less digits than its factorization.

2034034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333805 (or 333799 counting only the distinct ones).

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

The square root of 2034034032 is about 45100.2664293682. The cubic root of 2034034032 is about 1267.0275892392.

Adding to 2034034032 its reverse (2304304302), we get a palindrome (4338338334).

The spelling of 2034034032 in words is "two billion, thirty-four million, thirty-four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 333667 667334 1001001 1334668 2002002 2669336 4004004 5338672 8008008 16016016 42375709 84751418 127127127 169502836 254254254 339005672 508508508 678011344 1017017016 2034034032