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3728736 = 2532112107
BaseRepresentation
bin1110001110010101100000
321000102212100
432032111200
51423304421
6211530400
743456644
oct16162540
97012770
103728736
112117500
1212b9a00
13a0726b
146d0c24
154d9c26
hex38e560

3728736 has 108 divisors (see below), whose sum is σ = 11764116. Its totient is φ = 1119360.

The previous prime is 3728719. The next prime is 3728743. The reversal of 3728736 is 6378273.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3728736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34795 + ... + 34901.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 23728736 is an apocalyptic number.

3728736 is a gapful number since it is divisible by the number (36) 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 3728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058).

3728736 is an abundant number, since it is smaller than the sum of its proper divisors (8035380).

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

3728736 is a wasteful number, since it uses less digits than its factorization.

3728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3728736 is about 1930.9935266593. The cubic root of 3728736 is about 155.0674143103.

Subtracting from 3728736 its product of digits (42336), we obtain a square (3686400 = 19202).

The spelling of 3728736 in words is "three million, seven hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 107 121 132 144 176 198 214 242 264 288 321 352 363 396 428 484 528 642 726 792 856 963 968 1056 1089 1177 1284 1452 1584 1712 1926 1936 2178 2354 2568 2904 3168 3424 3531 3852 3872 4356 4708 5136 5808 7062 7704 8712 9416 10272 10593 11616 12947 14124 15408 17424 18832 21186 25894 28248 30816 34848 37664 38841 42372 51788 56496 77682 84744 103576 112992 116523 155364 169488 207152 233046 310728 338976 414304 466092 621456 932184 1242912 1864368 3728736