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1448004340 = 22585784481
BaseRepresentation
bin101011001001110…
…1100101011110100
310201220200020112101
41112103230223310
510431142114330
6355403431444
750611555666
oct12623545364
93656606471
101448004340
116833a7102
12344b25584
131a0cb8703
14da44a536
15871c84ca
hex564ecaf4

1448004340 has 24 divisors (see below), whose sum is σ = 3044393352. Its totient is φ = 578519040.

The previous prime is 1448004323. The next prime is 1448004379. The reversal of 1448004340 is 434008441.

1448004340 = T345 + T346 + ... + T2058.

It can be written as a sum of positive squares in 4 ways, for example, as 114147856 + 1333856484 = 10684^2 + 36522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1448004299 and 1448004308.

It is a congruent number.

It is an unprimeable number.

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, 25101 + ... + 59380.

It is an arithmetic number, because the mean of its divisors is an integer number (126849723).

Almost surely, 21448004340 is an apocalyptic number.

1448004340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1448004340 is an abundant number, since it is smaller than the sum of its proper divisors (1596389012).

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

1448004340 is a wasteful number, since it uses less digits than its factorization.

1448004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85347 (or 85345 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 1448004340 is about 38052.6522071721. The cubic root of 1448004340 is about 1131.3316954523.

The spelling of 1448004340 in words is "one billion, four hundred forty-eight million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 857 1714 3428 4285 8570 17140 84481 168962 337924 422405 844810 1689620 72400217 144800434 289600868 362001085 724002170 1448004340