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1123404032 = 2819713253
BaseRepresentation
bin100001011110101…
…1100100100000000
32220021212211121202
41002331130210000
54300042412112
6303250240332
736560530262
oct10275344400
92807784552
101123404032
11527150093
122742860a8
1314b98661a
14a92b1b32
156895a6c2
hex42f5c900

1123404032 has 72 divisors (see below), whose sum is σ = 2394423360. Its totient is φ = 524482560.

The previous prime is 1123403971. The next prime is 1123404041. The reversal of 1123404032 is 2304043211.

It is a super-3 number, since 3×11234040323 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1123403995 and 1123404013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343718 + ... + 346970.

It is an arithmetic number, because the mean of its divisors is an integer number (33255880).

Almost surely, 21123404032 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 1123404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197211680).

1123404032 is an abundant number, since it is smaller than the sum of its proper divisors (1271019328).

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

1123404032 is an equidigital number, since it uses as much as digits as its factorization.

1123404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1123404032 is about 33517.2199324467. The cubic root of 1123404032 is about 1039.5498643708.

Adding to 1123404032 its reverse (2304043211), we get a palindrome (3427447243).

The spelling of 1123404032 in words is "one billion, one hundred twenty-three million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 568 608 1136 1216 1349 2272 2432 2698 3253 4544 4864 5396 6506 9088 10792 13012 18176 21584 26024 43168 52048 61807 86336 104096 123614 172672 208192 230963 247228 345344 416384 461926 494456 832768 923852 988912 1847704 1977824 3695408 3955648 4388297 7390816 7911296 8776594 14781632 15822592 17553188 29563264 35106376 59126528 70212752 140425504 280851008 561702016 1123404032