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3134413410 = 2353173137337
BaseRepresentation
bin1011101011010011…
…0101101001100010
322002102221200212120
42322310311221202
522404402212120
61235005205110
7140450034342
oct27264655142
98072850776
103134413410
111369327207
12735860796
133ac4b6abb
1421a3d4d22
15135295140
hexbad35a62

3134413410 has 128 divisors (see below), whose sum is σ = 7952615424. Its totient is φ = 789626880.

The previous prime is 3134413397. The next prime is 3134413417. The reversal of 3134413410 is 143144313.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3134413417) 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 63 ways as a sum of consecutive naturals, for example, 9300762 + ... + 9301098.

It is an arithmetic number, because the mean of its divisors is an integer number (62129808).

Almost surely, 23134413410 is an apocalyptic number.

3134413410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134413410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976307712).

3134413410 is an abundant number, since it is smaller than the sum of its proper divisors (4818202014).

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

3134413410 is a wasteful number, since it uses less digits than its factorization.

3134413410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3134413410 is about 55985.8322256622. The cubic root of 3134413410 is about 1463.4753963718.

Adding to 3134413410 its reverse (143144313), we get a palindrome (3277557723).

The spelling of 3134413410 in words is "three billion, one hundred thirty-four million, four hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 73 93 137 146 155 186 219 274 310 337 365 411 438 465 674 685 730 822 930 1011 1095 1370 1685 2022 2055 2190 2263 3370 4110 4247 4526 5055 6789 8494 10001 10110 10447 11315 12741 13578 20002 20894 21235 22630 24601 25482 30003 31341 33945 42470 46169 49202 50005 52235 60006 62682 63705 67890 73803 92338 100010 104470 123005 127410 138507 147606 150015 156705 230845 246010 277014 300030 310031 313410 369015 461690 620062 692535 738030 762631 930093 1385070 1431239 1525262 1550155 1860186 2287893 2862478 3100310 3370337 3813155 4293717 4575786 4650465 6740674 7156195 7626310 8587434 9300930 10111011 11439465 14312390 16851685 20222022 21468585 22878930 33703370 42937170 50555055 101110110 104480447 208960894 313441341 522402235 626882682 1044804470 1567206705 3134413410