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1114004232 = 2333113971181
BaseRepresentation
bin100001001100110…
…0101101100001000
32212122012021112000
41002121211230020
54240141113412
6302312551000
736414610515
oct10231455410
92778167460
101114004232
1152190a960
122710b2460
13149a45003
14a7d4630c
1567c004dc
hex42665b08

1114004232 has 128 divisors (see below), whose sum is σ = 3387139200. Its totient is φ = 336441600.

The previous prime is 1114004207. The next prime is 1114004239. The reversal of 1114004232 is 2324004111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1114004239) 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, 942682 + ... + 943862.

It is an arithmetic number, because the mean of its divisors is an integer number (26462025).

Almost surely, 21114004232 is an apocalyptic number.

1114004232 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 1114004232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693569600).

1114004232 is an abundant number, since it is smaller than the sum of its proper divisors (2273134968).

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

1114004232 is a wasteful number, since it uses less digits than its factorization.

1114004232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1114004232 is about 33376.7019341336. The cubic root of 1114004232 is about 1036.6423494650.

Adding to 1114004232 its reverse (2324004111), we get a palindrome (3438008343).

The spelling of 1114004232 in words is "one billion, one hundred fourteen million, four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 397 594 792 794 1181 1188 1191 1588 2362 2376 2382 3176 3543 3573 4367 4724 4764 7086 7146 8734 9448 9528 10629 10719 12991 13101 14172 14292 17468 21258 21438 25982 26202 28344 28584 31887 34936 38973 39303 42516 42876 51964 52404 63774 77946 78606 85032 85752 103928 104808 116919 117909 127548 155892 157212 233838 235818 255096 311784 314424 350757 467676 468857 471636 701514 935352 937714 943272 1403028 1406571 1875428 2806056 2813142 3750856 4219713 5157427 5626284 8439426 10314854 11252568 12659139 15472281 16878852 20629708 25318278 30944562 33757704 41259416 46416843 50636556 61889124 92833686 101273112 123778248 139250529 185667372 278501058 371334744 557002116 1114004232