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3134311000 = 235313922549
BaseRepresentation
bin1011101011010001…
…1100101001011000
322002102202111101121
42322310130221120
522404340423000
61235003055024
7140446126642
oct27264345130
98072674347
103134311000
111369267277
12735811474
133ac47c2c2
1421a3a9892
15135274b1a
hexbad1ca58

3134311000 has 64 divisors (see below), whose sum is σ = 7387380000. Its totient is φ = 1244649600.

The previous prime is 3134310997. The next prime is 3134311001. The reversal of 3134311000 is 1134313.

3134311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134311001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127726 + ... + 150274.

Almost surely, 23134311000 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 3134311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693690000).

3134311000 is an abundant number, since it is smaller than the sum of its proper divisors (4253069000).

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

3134311000 is a wasteful number, since it uses less digits than its factorization.

3134311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22709 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3134311000 is about 55984.9176117997. The cubic root of 3134311000 is about 1463.4594575950.

Adding to 3134311000 its reverse (1134313), we get a palindrome (3135445313).

The spelling of 3134311000 in words is "three billion, one hundred thirty-four million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 13900 17375 22549 27800 34750 45098 69500 90196 112745 139000 180392 225490 450980 563725 901960 1127450 2254900 2818625 3134311 4509800 5637250 6268622 11274500 12537244 15671555 22549000 25074488 31343110 62686220 78357775 125372440 156715550 313431100 391788875 626862200 783577750 1567155500 3134311000