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23041368 = 233373311
BaseRepresentation
bin101011111100…
…1010101011000
31121100121211000
41113321111120
521344310433
62141505000
7366564000
oct127712530
947317730
1023041368
1112008359
127872160
134a0985c
1430bb000
152052113
hex15f9558

23041368 has 128 divisors (see below), whose sum is σ = 74880000. Its totient is φ = 6562080.

The previous prime is 23041349. The next prime is 23041373. The reversal of 23041368 is 86314032.

It is a happy number.

It is a super-2 number, since 2×230413682 = 1061809278622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73933 + ... + 74243.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 223041368 is an apocalyptic number.

23041368 is a gapful number since it is divisible by the number (28) 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 23041368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440000).

23041368 is an abundant number, since it is smaller than the sum of its proper divisors (51838632).

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

23041368 is a wasteful number, since it uses less digits than its factorization.

23041368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23041368 is about 4800.1424978848. The cubic root of 23041368 is about 284.5570959955.

It can be divided in two parts, 23041 and 368, that added together give a square (23409 = 1532).

The spelling of 23041368 in words is "twenty-three million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 311 343 378 392 441 504 588 622 686 756 882 933 1029 1176 1244 1323 1372 1512 1764 1866 2058 2177 2488 2646 2744 2799 3087 3528 3732 4116 4354 5292 5598 6174 6531 7464 8232 8397 8708 9261 10584 11196 12348 13062 15239 16794 17416 18522 19593 22392 24696 26124 30478 33588 37044 39186 45717 52248 58779 60956 67176 74088 78372 91434 106673 117558 121912 137151 156744 182868 213346 235116 274302 320019 365736 411453 426692 470232 548604 640038 822906 853384 960057 1097208 1280076 1645812 1920114 2560152 2880171 3291624 3840228 5760342 7680456 11520684 23041368