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1077388384 = 25312514327
BaseRepresentation
bin100000000110111…
…1010010001100000
32210002022000000111
41000031322101200
54201302412014
6254524101104
735461436002
oct10015722140
92702260014
101077388384
11503180926
12260994794
13142294927
14a3134372
15648bb2c4
hex4037a460

1077388384 has 48 divisors (see below), whose sum is σ = 2198762496. Its totient is φ = 519120000.

The previous prime is 1077388381. The next prime is 1077388393. The reversal of 1077388384 is 4838837701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077388381) 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 7 ways as a sum of consecutive naturals, for example, 246829 + ... + 251155.

It is an arithmetic number, because the mean of its divisors is an integer number (45807552).

Almost surely, 21077388384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099381248).

1077388384 is an abundant number, since it is smaller than the sum of its proper divisors (1121374112).

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

1077388384 is a wasteful number, since it uses less digits than its factorization.

1077388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 1077388384 is about 32823.5949280392. The cubic root of 1077388384 is about 1025.1579004017.

The spelling of 1077388384 in words is "one billion, seventy-seven million, three hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 251 496 502 992 1004 2008 4016 4327 7781 8032 8654 15562 17308 31124 34616 62248 69232 124496 134137 138464 248992 268274 536548 1073096 1086077 2146192 2172154 4292384 4344308 8688616 17377232 33668387 34754464 67336774 134673548 269347096 538694192 1077388384