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3834212112 = 243419315329
BaseRepresentation
bin1110010010001001…
…0110111100010000
3100220012202011020000
43210202112330100
530323024241422
61432244250000
7164005156653
oct34442267420
910805664200
103834212112
111698349345
128b00a0900
13491485683
1428531989a
15176927cac
hexe4896f10

3834212112 has 100 divisors (see below), whose sum is σ = 11155549020. Its totient is φ = 1271365632.

The previous prime is 3834212111. The next prime is 3834212159. The reversal of 3834212112 is 2112124383.

It can be written as a sum of positive squares in 2 ways, for example, as 615238416 + 3218973696 = 24804^2 + 56736^2 .

It is a super-4 number, since 4×38342121124 (a number of 39 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3834212111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 242464 + ... + 257792.

Almost surely, 23834212112 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 3834212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577774510).

3834212112 is an abundant number, since it is smaller than the sum of its proper divisors (7321336908).

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

3834212112 is a wasteful number, since it uses less digits than its factorization.

3834212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15542 (or 15527 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3834212112 is about 61921.0151079583. The cubic root of 3834212112 is about 1565.1598964243.

Adding to 3834212112 its reverse (2112124383), we get a palindrome (5946336495).

The spelling of 3834212112 in words is "three billion, eight hundred thirty-four million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 324 386 432 579 648 772 1158 1296 1544 1737 2316 3088 3474 4632 5211 6948 9264 10422 13896 15329 15633 20844 27792 30658 31266 41688 45987 61316 62532 83376 91974 122632 125064 137961 183948 245264 250128 275922 367896 413883 551844 735792 827766 1103688 1241649 1655532 2207376 2483298 2958497 3311064 4966596 5916994 6622128 8875491 9933192 11833988 17750982 19866384 23667976 26626473 35501964 47335952 53252946 71003928 79879419 106505892 142007856 159758838 213011784 239638257 319517676 426023568 479276514 639035352 958553028 1278070704 1917106056 3834212112