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1145341680 = 243572172337
BaseRepresentation
bin100010001000100…
…1000011011110000
32221211011101102020
41010101020123300
54321201413210
6305352351440
740245146400
oct10421103360
92854141366
101145341680
1153857417a
1227b6a5580
13153397992
14ac182800
156a840770
hex444486f0

1145341680 has 360 divisors, whose sum is σ = 4400508528. Its totient is φ = 245661696.

The previous prime is 1145341667. The next prime is 1145341699. The reversal of 1145341680 is 861435411.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3398472 + ... + 3398808.

Almost surely, 21145341680 is an apocalyptic number.

1145341680 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 1145341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200254264).

1145341680 is an abundant number, since it is smaller than the sum of its proper divisors (3255166848).

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

1145341680 is a wasteful number, since it uses less digits than its factorization.

1145341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1145341680 is about 33842.8970391129. The cubic root of 1145341680 is about 1046.2730088621.

The spelling of 1145341680 in words is "one billion, one hundred forty-five million, three hundred forty-one thousand, six hundred eighty".