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1340444112 = 243719120887
BaseRepresentation
bin100111111100101…
…1000110111010000
310110102021121122020
41033321120313100
510221123202422
6341002211440
745134405220
oct11771306720
93412247566
101340444112
11628711557
12314ab3b80
131849289c7
14ca04c080
157ca2d95c
hex4fe58dd0

1340444112 has 80 divisors (see below), whose sum is σ = 3978412032. Its totient is φ = 380960640.

The previous prime is 1340444099. The next prime is 1340444141. The reversal of 1340444112 is 2114440431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 53733 + ... + 74619.

Almost surely, 21340444112 is an apocalyptic number.

1340444112 is a gapful number since it is divisible by the number (12) 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 1340444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989206016).

1340444112 is an abundant number, since it is smaller than the sum of its proper divisors (2637967920).

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

1340444112 is a wasteful number, since it uses less digits than its factorization.

1340444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21096 (or 21090 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1340444112 is about 36612.0760405634. The cubic root of 1340444112 is about 1102.5955544722.

Adding to 1340444112 its reverse (2114440431), we get a palindrome (3454884543).

The spelling of 1340444112 in words is "one billion, three hundred forty million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 2292 2674 3056 4011 4584 5348 8022 9168 10696 16044 20887 21392 32088 41774 62661 64176 83548 125322 146209 167096 250644 292418 334192 438627 501288 584836 877254 1002576 1169672 1754508 2339344 3509016 3989417 7018032 7978834 11968251 15957668 23936502 27925919 31915336 47873004 55851838 63830672 83777757 95746008 111703676 167555514 191492016 223407352 335111028 446814704 670222056 1340444112