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3124341444 = 2237831373271
BaseRepresentation
bin1011101000111001…
…1010101011000100
322001201222222201210
42322032122223010
522344312411234
61234005251420
7140265315120
oct27216325304
98051888653
103124341444
111363677a74
12732403b70
133aa39b563
14218d32580
15134455be9
hexba39aac4

3124341444 has 96 divisors (see below), whose sum is σ = 8496101376. Its totient is φ = 875208960.

The previous prime is 3124341443. The next prime is 3124341449. The reversal of 3124341444 is 4441434213.

3124341444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3124341443) 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, 953529 + ... + 956799.

It is an arithmetic number, because the mean of its divisors is an integer number (88501056).

Almost surely, 23124341444 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 3124341444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248050688).

3124341444 is an abundant number, since it is smaller than the sum of its proper divisors (5371759932).

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

3124341444 is a wasteful number, since it uses less digits than its factorization.

3124341444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3503 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3124341444 is about 55895.8088232025. The cubic root of 3124341444 is about 1461.9061616553.

Adding to 3124341444 its reverse (4441434213), we get a palindrome (7565775657).

The spelling of 3124341444 in words is "three billion, one hundred twenty-four million, three hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 137 166 249 274 332 411 498 548 581 822 959 996 1162 1644 1743 1918 2324 2877 3271 3486 3836 5754 6542 6972 9813 11371 11508 13084 19626 22742 22897 34113 39252 45484 45794 68226 68691 79597 91588 136452 137382 159194 238791 271493 274764 318388 448127 477582 542986 814479 896254 955164 1085972 1344381 1628958 1792508 1900451 2688762 3136889 3257916 3800902 5377524 5701353 6273778 7601804 9410667 11402706 12547556 18821334 22805412 37194541 37642668 74389082 111583623 148778164 223167246 260361787 446334492 520723574 781085361 1041447148 1562170722 3124341444