Search a number
-
+
1143234432 = 27332931129
BaseRepresentation
bin100010000100100…
…0101111110000000
32221200012022211000
41010021011332000
54320132000212
6305235252000
740221221664
oct10411057600
92850168730
101143234432
11537364a4a
1227aa4a000
13152b0a7a2
14abb948a4
156a5761dc
hex44245f80

1143234432 has 128 divisors (see below), whose sum is σ = 3388644000. Its totient is φ = 379441152.

The previous prime is 1143234409. The next prime is 1143234457. The reversal of 1143234432 is 2344323411.

It is a tau number, because it is divible by the number of its divisors (128).

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 a junction number, because it is equal to n+sod(n) for n = 1143234396 and 1143234405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012044 + ... + 1013172.

Almost surely, 21143234432 is an apocalyptic number.

1143234432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694322000).

1143234432 is an abundant number, since it is smaller than the sum of its proper divisors (2245409568).

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

1143234432 is a wasteful number, since it uses less digits than its factorization.

1143234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1427 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1143234432 is about 33811.7499103492. The cubic root of 1143234432 is about 1045.6309558507.

Adding to 1143234432 its reverse (2344323411), we get a palindrome (3487557843).

The spelling of 1143234432 in words is "one billion, one hundred forty-three million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 293 384 432 576 586 864 879 1129 1152 1172 1728 1758 2258 2344 2637 3387 3456 3516 4516 4688 5274 6774 7032 7911 9032 9376 10161 10548 13548 14064 15822 18064 18752 20322 21096 27096 28128 30483 31644 36128 37504 40644 42192 54192 56256 60966 63288 72256 81288 84384 108384 112512 121932 126576 144512 162576 168768 216768 243864 253152 325152 330797 337536 433536 487728 506304 650304 661594 975456 992391 1012608 1300608 1323188 1950912 1984782 2646376 2977173 3901824 3969564 5292752 5954346 7939128 8931519 10585504 11908692 15878256 17863038 21171008 23817384 31756512 35726076 42342016 47634768 63513024 71452152 95269536 127026048 142904304 190539072 285808608 381078144 571617216 1143234432