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34240003144 = 23171571603597
BaseRepresentation
bin11111111000110111…
…001111110001001000
310021101020121101020121
4133320313033301020
51030110420100034
623421334033024
72321333140024
oct377067176110
9107336541217
1034240003144
1113580653166
126776aa8774
1332c8938bb9
14192b5d5384
15d55eab1b4
hex7f8dcfc48

34240003144 has 32 divisors (see below), whose sum is σ = 68409490680. Its totient is φ = 16010302464.

The previous prime is 34240003087. The next prime is 34240003157. The reversal of 34240003144 is 44130004243.

It can be written as a sum of positive squares in 4 ways, for example, as 34228700100 + 11303044 = 185010^2 + 3362^2 .

It is a super-2 number, since 2×342400031442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780447 + ... + 823150.

Almost surely, 234240003144 is an apocalyptic number.

34240003144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34240003144 is a deficient number, since it is larger than the sum of its proper divisors (34169487536).

34240003144 is a wasteful number, since it uses less digits than its factorization.

34240003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603777 (or 1603773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34240003144 its reverse (44130004243), we get a palindrome (78370007387).

The spelling of 34240003144 in words is "thirty-four billion, two hundred forty million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 157 314 628 1256 2669 5338 10676 21352 1603597 3207194 6414388 12828776 27261149 54522298 109044596 218089192 251764729 503529458 1007058916 2014117832 4280000393 8560000786 17120001572 34240003144