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3134210032 = 241729735443
BaseRepresentation
bin1011101011010000…
…0011111111110000
322002102120100220001
42322310003333300
522404324210112
61235000555344
7140445226402
oct27264037760
98072510801
103134210032
1113691a8428
12735782b54
133ac445365
1421a380b72
15135254c57
hexbad03ff0

3134210032 has 80 divisors (see below), whose sum is σ = 6743809440. Its totient is φ = 1404297216.

The previous prime is 3134210029. The next prime is 3134210039. The reversal of 3134210032 is 2300124313.

It is a junction number, because it is equal to n+sod(n) for n = 3134209991 and 3134210009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134210039) 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, 573103 + ... + 578545.

It is an arithmetic number, because the mean of its divisors is an integer number (84297618).

Almost surely, 23134210032 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 3134210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371904720).

3134210032 is an abundant number, since it is smaller than the sum of its proper divisors (3609599408).

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

3134210032 is a wasteful number, since it uses less digits than its factorization.

3134210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3134210032 is about 55984.0158616725. The cubic root of 3134210032 is about 1463.4437429067.

Adding to 3134210032 its reverse (2300124313), we get a palindrome (5434334345).

The spelling of 3134210032 in words is "three billion, one hundred thirty-four million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 73 116 136 146 232 272 292 464 493 584 986 1168 1241 1972 2117 2482 3944 4234 4964 5443 7888 8468 9928 10886 16936 19856 21772 33872 35989 43544 71978 87088 92531 143956 157847 185062 287912 315694 370124 397339 575824 631388 740248 794678 1262776 1480496 1589356 2525552 2683399 3178712 5366798 6357424 6754763 10733596 11522831 13509526 21467192 23045662 27019052 42934384 46091324 54038104 92182648 108076208 184365296 195888127 391776254 783552508 1567105016 3134210032