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1714134240 = 25325713103127
BaseRepresentation
bin110011000101011…
…1001110011100000
311102110110001010100
41212022321303200
512002304243430
6442031502400
760322620630
oct14612716340
94373401110
101714134240
117aa647475
123ba087a00
13214187b20
141239246c0
15a0746960
hex662b9ce0

1714134240 has 576 divisors, whose sum is σ = 7326498816. Its totient is φ = 355332096.

The previous prime is 1714134223. The next prime is 1714134277. The reversal of 1714134240 is 424314171.

1714134240 is a `hidden beast` number, since 1 + 7 + 1 + 413 + 4 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13497057 + ... + 13497183.

It is an arithmetic number, because the mean of its divisors is an integer number (12719616).

Almost surely, 21714134240 is an apocalyptic number.

1714134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1714134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663249408).

1714134240 is an abundant number, since it is smaller than the sum of its proper divisors (5612364576).

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

1714134240 is a wasteful number, since it uses less digits than its factorization.

1714134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1714134240 is about 41402.1042943472. The cubic root of 1714134240 is about 1196.7817098900.

The spelling of 1714134240 in words is "one billion, seven hundred fourteen million, one hundred thirty-four thousand, two hundred forty".