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2023434112 = 27717711871
BaseRepresentation
bin111100010011011…
…0010011110000000
312020000110002210011
41320212302132000
513120444342422
6532441114304
7101066622550
oct17046623600
95200402704
102023434112
119491a2aa7
12485788994
132632908bb
14152a39160
15bc991077
hex789b2780

2023434112 has 128 divisors (see below), whose sum is σ = 4949268480. Its totient is φ = 804249600.

The previous prime is 2023434067. The next prime is 2023434113. The reversal of 2023434112 is 2114343202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023434113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080537 + ... + 1082407.

It is an arithmetic number, because the mean of its divisors is an integer number (38666160).

Almost surely, 22023434112 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 2023434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474634240).

2023434112 is an abundant number, since it is smaller than the sum of its proper divisors (2925834368).

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

2023434112 is a wasteful number, since it uses less digits than its factorization.

2023434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2023434112 is about 44982.5978796245. The cubic root of 2023434112 is about 1264.8228098875.

Adding to 2023434112 its reverse (2114343202), we get a palindrome (4137777314).

The spelling of 2023434112 in words is "two billion, twenty-three million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 71 112 119 128 136 142 224 238 272 284 448 476 497 544 568 896 952 994 1088 1136 1207 1871 1904 1988 2176 2272 2414 3742 3808 3976 4544 4828 7484 7616 7952 8449 9088 9656 13097 14968 15232 15904 16898 19312 26194 29936 31807 31808 33796 38624 52388 59872 63614 63616 67592 77248 104776 119744 127228 132841 135184 154496 209552 222649 239488 254456 265682 270368 419104 445298 508912 531364 540736 838208 890596 929887 1017824 1062728 1081472 1676416 1781192 1859774 2035648 2125456 2258297 3562384 3719548 4071296 4250912 4516594 7124768 7439096 8501824 9033188 14249536 14878192 15808079 17003648 18066376 28499072 29756384 31616158 36132752 59512768 63232316 72265504 119025536 126464632 144531008 252929264 289062016 505858528 1011717056 2023434112