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3140788770 = 23457279133
BaseRepresentation
bin1011101100110100…
…1010001000100010
322002212221121020000
42323031022020202
522413020220040
61235354000430
7140555156400
oct27315121042
98085847200
103140788770
1113719910a9
12737a16116
133b09098c2
1421b1b4470
15135b04130
hexbb34a222

3140788770 has 120 divisors (see below), whose sum is σ = 9824169564. Its totient is φ = 717885504.

The previous prime is 3140788751. The next prime is 3140788793. The reversal of 3140788770 is 778870413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3052673001 + 88115769 = 55251^2 + 9387^2 .

It is a super-2 number, since 2×31407887702 = 19729108195516225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 124 + ... + 79256.

Almost surely, 23140788770 is an apocalyptic number.

3140788770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140788770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912084782).

3140788770 is an abundant number, since it is smaller than the sum of its proper divisors (6683380794).

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

3140788770 is a wasteful number, since it uses less digits than its factorization.

3140788770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79166 (or 79150 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 3140788770 is about 56042.7405646797. The cubic root of 3140788770 is about 1464.4669549821.

The spelling of 3140788770 in words is "three billion, one hundred forty million, seven hundred eighty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 39690 79133 158266 237399 395665 474798 553931 712197 791330 1107862 1186995 1424394 1661793 2136591 2373990 2769655 3323586 3560985 3877517 4273182 4985379 5539310 6409773 7121970 7755034 8308965 9970758 10682955 11632551 12819546 14956137 16617930 19387585 21365910 23265102 24926895 29912274 32048865 34897653 38775170 44868411 49853790 58162755 64097730 69795306 74780685 89736822 104692959 116325510 149561370 174488265 209385918 224342055 314078877 348976530 448684110 523464795 628157754 1046929590 1570394385 3140788770