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3134361000 = 233539710771
BaseRepresentation
bin1011101011010010…
…1000110110101000
322002102212000222110
42322310220312220
522404344023000
61235004122320
7140446425501
oct27264506650
98072760873
103134361000
1113692a08a1
127358363a0
133ac498ca4
1421a3bdba8
15135284850
hexbad28da8

3134361000 has 128 divisors (see below), whose sum is σ = 9880940160. Its totient is φ = 827136000.

The previous prime is 3134360981. The next prime is 3134361007. The reversal of 3134361000 is 1634313.

3134361000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3134361007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285615 + ... + 296385.

It is an arithmetic number, because the mean of its divisors is an integer number (77194845).

Almost surely, 23134361000 is an apocalyptic number.

3134361000 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 3134361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940470080).

3134361000 is an abundant number, since it is smaller than the sum of its proper divisors (6746579160).

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

3134361000 is a wasteful number, since it uses less digits than its factorization.

3134361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3134361000 is about 55985.3641588585. The cubic root of 3134361000 is about 1463.4672394843.

Adding to 3134361000 its reverse (1634313), we get a palindrome (3135995313).

The spelling of 3134361000 in words is "three billion, one hundred thirty-four million, three hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 125 150 194 200 250 291 300 375 388 485 500 582 600 750 776 970 1000 1164 1455 1500 1940 2328 2425 2910 3000 3880 4850 5820 7275 9700 10771 11640 12125 14550 19400 21542 24250 29100 32313 36375 43084 48500 53855 58200 64626 72750 86168 97000 107710 129252 145500 161565 215420 258504 269275 291000 323130 430840 538550 646260 807825 1044787 1077100 1292520 1346375 1615650 2089574 2154200 2692750 3134361 3231300 4039125 4179148 5223935 5385500 6268722 6462600 8078250 8358296 10447870 10771000 12537444 15671805 16156500 20895740 25074888 26119675 31343610 32313000 41791480 52239350 62687220 78359025 104478700 125374440 130598375 156718050 208957400 261196750 313436100 391795125 522393500 626872200 783590250 1044787000 1567180500 3134361000