Search a number
-
+
1033245144 = 233289383421
BaseRepresentation
bin111101100101100…
…001000111011000
32200000020021212200
4331211201013120
54104002321034
6250310010200
734414303341
oct7545410730
92600207780
101033245144
11490270408
1224a046960
131360aa279
149b3230c8
1560a9ba99
hex3d9611d8

1033245144 has 96 divisors (see below), whose sum is σ = 2843942400. Its totient is φ = 338849280.

The previous prime is 1033245131. The next prime is 1033245163. The reversal of 1033245144 is 4415423301.

It is a happy number.

1033245144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454054 + ... + 2454474.

It is an arithmetic number, because the mean of its divisors is an integer number (29624400).

Almost surely, 21033245144 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 1033245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421971200).

1033245144 is an abundant number, since it is smaller than the sum of its proper divisors (1810697256).

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

1033245144 is a wasteful number, since it uses less digits than its factorization.

1033245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1033245144 is about 32144.1307861949. The cubic root of 1033245144 is about 1010.9611293305.

Adding to 1033245144 its reverse (4415423301), we get a palindrome (5448668445).

The spelling of 1033245144 in words is "one billion, thirty-three million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 383 421 534 712 766 801 842 1068 1149 1263 1532 1602 1684 2136 2298 2526 3064 3204 3368 3447 3789 4596 5052 6408 6894 7578 9192 10104 13788 15156 27576 30312 34087 37469 68174 74938 102261 112407 136348 149876 161243 204522 224814 272696 299752 306783 322486 337221 409044 449628 483729 613566 644972 674442 818088 899256 967458 1227132 1289944 1348884 1451187 1934916 2454264 2697768 2902374 3869832 5804748 11609496 14350627 28701254 43051881 57402508 86103762 114805016 129155643 172207524 258311286 344415048 516622572 1033245144