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23288034 = 23721119379
BaseRepresentation
bin101100011010…
…1100011100010
31121211011011210
41120311203202
521430204114
62151050550
7401642100
oct130654342
947734153
1023288034
1112166710
127970a56
134a94c03
143142c70
1520a0259
hex16358e2

23288034 has 96 divisors (see below), whose sum is σ = 62380800. Its totient is φ = 5715360.

The previous prime is 23288033. The next prime is 23288047. The reversal of 23288034 is 43088232.

It is a junction number, because it is equal to n+sod(n) for n = 23287992 and 23288010.

It is not an unprimeable number, because it can be changed into a prime (23288033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61257 + ... + 61635.

It is an arithmetic number, because the mean of its divisors is an integer number (649800).

Almost surely, 223288034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23288034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31190400).

23288034 is an abundant number, since it is smaller than the sum of its proper divisors (39092766).

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

23288034 is a wasteful number, since it uses less digits than its factorization.

23288034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 23288034 is about 4825.7677109451. The cubic root of 23288034 is about 285.5689220316.

The spelling of 23288034 in words is "twenty-three million, two hundred eighty-eight thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 379 399 418 462 539 627 758 798 931 1078 1137 1254 1463 1617 1862 2274 2653 2793 2926 3234 4169 4389 5306 5586 7201 7959 8338 8778 10241 12507 14402 15918 18571 20482 21603 25014 29183 30723 37142 43206 50407 55713 58366 61446 79211 87549 100814 111426 151221 158422 175098 204281 237633 302442 352849 408562 475266 554477 612843 705698 1058547 1108954 1225686 1663431 2117094 3326862 3881339 7762678 11644017 23288034