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1938378312 = 2332137692693
BaseRepresentation
bin111001110001001…
…0100111001001000
312000002101211011100
41303202110321020
512432211101222
6520202101400
766014641503
oct16342247110
95002354140
101938378312
11905189352
124611aa860
1324b780220
1414561813a
15b528e4ac
hex73894e48

1938378312 has 96 divisors (see below), whose sum is σ = 5663057400. Its totient is φ = 595427328.

The previous prime is 1938378307. The next prime is 1938378317. The reversal of 1938378312 is 2138738391.

It is a happy number.

1938378312 is a `hidden beast` number, since 193 + 83 + 78 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (1938378307) and next prime (1938378317).

It can be written as a sum of positive squares in 4 ways, for example, as 1156952196 + 781426116 = 34014^2 + 27954^2 .

It is not an unprimeable number, because it can be changed into a prime (1938378317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718438 + ... + 721130.

Almost surely, 21938378312 is an apocalyptic number.

1938378312 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 1938378312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831528700).

1938378312 is an abundant number, since it is smaller than the sum of its proper divisors (3724679088).

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

1938378312 is a wasteful number, since it uses less digits than its factorization.

1938378312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3480 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1938378312 is about 44027.0179776010. The cubic root of 1938378312 is about 1246.8460888617.

The spelling of 1938378312 in words is "one billion, nine hundred thirty-eight million, three hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 769 936 1538 2307 2693 3076 4614 5386 6152 6921 8079 9228 9997 10772 13842 16158 18456 19994 21544 24237 27684 29991 32316 35009 39988 48474 55368 59982 64632 70018 79976 89973 96948 105027 119964 140036 179946 193896 210054 239928 280072 315081 359892 420108 630162 719784 840216 1260324 2070917 2520648 4141834 6212751 8283668 12425502 16567336 18638253 24851004 26921921 37276506 49702008 53843842 74553012 80765763 107687684 149106024 161531526 215375368 242297289 323063052 484594578 646126104 969189156 1938378312