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23374728 = 233213217113
BaseRepresentation
bin101100100101…
…0101110001000
31121222120002200
41121022232020
521440442403
62153000200
7402452616
oct131125610
947876080
1023374728
1112215863
1279b3060
134ac5500
1431666b6
1520baca3
hex164ab88

23374728 has 144 divisors (see below), whose sum is σ = 73225620. Its totient is φ = 6709248.

The previous prime is 23374727. The next prime is 23374763. The reversal of 23374728 is 82747332.

It can be written as a sum of positive squares in 6 ways, for example, as 1077444 + 22297284 = 1038^2 + 4722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (56448) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 23374692 and 23374701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23374727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206800 + ... + 206912.

Almost surely, 223374728 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 23374728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612810).

23374728 is an abundant number, since it is smaller than the sum of its proper divisors (49850892).

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

23374728 is a wasteful number, since it uses less digits than its factorization.

23374728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 23374728 is about 4834.7417718013. The cubic root of 23374728 is about 285.9228442009.

The spelling of 23374728 in words is "twenty-three million, three hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 113 117 136 153 156 169 204 221 226 234 306 312 338 339 408 442 452 468 507 612 663 676 678 884 904 936 1014 1017 1224 1326 1352 1356 1469 1521 1768 1921 1989 2028 2034 2652 2712 2873 2938 3042 3842 3978 4056 4068 4407 5304 5746 5763 5876 6084 7684 7956 8136 8619 8814 11492 11526 11752 12168 13221 15368 15912 17238 17289 17628 19097 22984 23052 24973 25857 26442 34476 34578 35256 38194 46104 49946 51714 52884 57291 68952 69156 74919 76388 99892 103428 105768 114582 138312 149838 152776 171873 199784 206856 224757 229164 299676 324649 343746 449514 458328 599352 649298 687492 899028 973947 1298596 1374984 1798056 1947894 2597192 2921841 3895788 5843682 7791576 11687364 23374728