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3134380788 = 22327119711657
BaseRepresentation
bin1011101011010010…
…1101101011110100
322002102220001010100
42322310231223310
522404400141123
61235004354100
7140446540260
oct27264555364
98072801110
103134380788
111369304750
12735845930
133ac4a4cb6
1421a3c70a0
1513528a643
hexbad2daf4

3134380788 has 144 divisors (see below), whose sum is σ = 9980740224. Its totient is φ = 805662720.

The previous prime is 3134380787. The next prime is 3134380849. The reversal of 3134380788 is 8870834313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134380787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263056 + ... + 274712.

It is an arithmetic number, because the mean of its divisors is an integer number (69310696).

Almost surely, 23134380788 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 3134380788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990370112).

3134380788 is an abundant number, since it is smaller than the sum of its proper divisors (6846359436).

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

3134380788 is a wasteful number, since it uses less digits than its factorization.

3134380788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3134380788 is about 55985.5408833388. The cubic root of 3134380788 is about 1463.4703192220.

The spelling of 3134380788 in words is "three billion, one hundred thirty-four million, three hundred eighty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 97 99 126 132 154 194 198 231 252 291 308 388 396 462 582 679 693 873 924 1067 1164 1358 1386 1746 2037 2134 2716 2772 3201 3492 4074 4268 6111 6402 7469 8148 9603 11657 12222 12804 14938 19206 22407 23314 24444 29876 34971 38412 44814 46628 67221 69942 81599 89628 104913 128227 134442 139884 163198 209826 244797 256454 268884 326396 384681 419652 489594 512908 734391 769362 897589 979188 1130729 1154043 1468782 1538724 1795178 2261458 2308086 2692767 2937564 3392187 3590356 4522916 4616172 5385534 6784374 7915103 8078301 10176561 10771068 12438019 13568748 15830206 16156602 20353122 23745309 24876038 31660412 32313204 37314057 40706244 47490618 49752076 71235927 74628114 87066133 94981236 111942171 142471854 149256228 174132266 223884342 261198399 284943708 348264532 447768684 522396798 783595197 1044793596 1567190394 3134380788