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1340150784 = 21037229307
BaseRepresentation
bin100111111100001…
…0001010000000000
310110101201201021020
41033320101100000
510221034311114
6340552025440
745132044100
oct11770212000
93411651236
101340150784
11628531135
12314992280
1318485533b
14c9db3200
157c9c1aa9
hex4fe11400

1340150784 has 264 divisors, whose sum is σ = 4312455840. Its totient is φ = 368492544.

The previous prime is 1340150761. The next prime is 1340150789. The reversal of 1340150784 is 4870510431.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340150789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4365159 + ... + 4365465.

It is an arithmetic number, because the mean of its divisors is an integer number (16335060).

Almost surely, 21340150784 is an apocalyptic number.

1340150784 is a gapful number since it is divisible by the number (14) 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 1340150784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156227920).

1340150784 is an abundant number, since it is smaller than the sum of its proper divisors (2972305056).

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

1340150784 is a wasteful number, since it uses less digits than its factorization.

1340150784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1340150784 is about 36608.0699300031. The cubic root of 1340150784 is about 1102.5151219896.

The spelling of 1340150784 in words is "one billion, three hundred forty million, one hundred fifty thousand, seven hundred eighty-four".