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3140645300 = 2252132832239
BaseRepresentation
bin1011101100110010…
…0111000110110100
322002212200022102022
42323030213012310
522413001122200
61235350532312
7140554021202
oct27314470664
98085608368
103140645300
1113718a3331
12737967098
133b0889500
1421b178072
15135ac6885
hexbb3271b4

3140645300 has 108 divisors (see below), whose sum is σ = 7472021760. Its totient is φ = 1145139840.

The previous prime is 3140645251. The next prime is 3140645303. The reversal of 3140645300 is 35460413.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3140645300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140645303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1401581 + ... + 1403819.

Almost surely, 23140645300 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 3140645300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736010880).

3140645300 is an abundant number, since it is smaller than the sum of its proper divisors (4331376460).

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

3140645300 is a wasteful number, since it uses less digits than its factorization.

3140645300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3140645300 is about 56041.4605448502. The cubic root of 3140645300 is about 1464.4446558837. Note that the first 3 decimals are identical.

The spelling of 3140645300 in words is "three billion, one hundred forty million, six hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 169 260 325 332 338 415 650 676 830 845 1079 1300 1660 1690 2075 2158 2239 3380 4150 4225 4316 4478 5395 8300 8450 8956 10790 11195 14027 16900 21580 22390 26975 28054 29107 44780 53950 55975 56108 58214 70135 107900 111950 116428 140270 145535 185837 223900 280540 291070 350675 371674 378391 582140 701350 727675 743348 756782 929185 1402700 1455350 1513564 1858370 1891955 2415881 2910700 3716740 3783910 4645925 4831762 7567820 9291850 9459775 9663524 12079405 18583700 18919550 24158810 31406453 37839100 48317620 60397025 62812906 120794050 125625812 157032265 241588100 314064530 628129060 785161325 1570322650 3140645300