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3134430540 = 2233513941759
BaseRepresentation
bin1011101011010011…
…1001110101001100
322002102222120101000
42322310321311030
522404403234130
61235005420300
7140450135313
oct27264716514
98072876330
103134430540
11136933906a
1273586a690
133ac4c1837
1421a3db27a
1513529a260
hexbad39d4c

3134430540 has 96 divisors (see below), whose sum is σ = 9821952000. Its totient is φ = 829814976.

The previous prime is 3134430529. The next prime is 3134430557. The reversal of 3134430540 is 450344313.

3134430540 is a `hidden beast` number, since 313 + 4 + 4 + 305 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54181 + ... + 95939.

It is an arithmetic number, because the mean of its divisors is an integer number (102312000).

Almost surely, 23134430540 is an apocalyptic number.

3134430540 is a gapful number since it is divisible by the number (30) 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 3134430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910976000).

3134430540 is an abundant number, since it is smaller than the sum of its proper divisors (6687521460).

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

3134430540 is a wasteful number, since it uses less digits than its factorization.

3134430540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41916 (or 41908 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3134430540 is about 55985.9852105864. The cubic root of 3134430540 is about 1463.4780623984.

Adding to 3134430540 its reverse (450344313), we get a palindrome (3584774853).

The spelling of 3134430540 in words is "three billion, one hundred thirty-four million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 18765 25020 37530 41759 75060 83518 125277 167036 208795 250554 375831 417590 501108 626385 751662 835180 1127493 1252770 1503324 1879155 2254986 2505540 3758310 4509972 5637465 5804501 7516620 11274930 11609002 17413503 22549860 23218004 29022505 34827006 52240509 58045010 69654012 87067515 104481018 116090020 156721527 174135030 208962036 261202545 313443054 348270060 522405090 626886108 783607635 1044810180 1567215270 3134430540