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3696768 = 27323209
BaseRepresentation
bin1110000110100010000000
320221211000100
432012202000
51421244033
6211122400
743264515
oct16064200
96854010
103696768
1120a5489
1212a3400
139c584a
146c330c
154d0513
hex386880

3696768 has 48 divisors (see below), whose sum is σ = 10641150. Its totient is φ = 1231872.

The previous prime is 3696761. The next prime is 3696779. The reversal of 3696768 is 8676963.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 627264 = 1752^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3696761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 453 + ... + 2756.

Almost surely, 23696768 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 3696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320575).

3696768 is an abundant number, since it is smaller than the sum of its proper divisors (6944382).

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

3696768 is a wasteful number, since it uses less digits than its factorization.

3696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3214 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3696768 is about 1922.6981042275. The cubic root of 3696768 is about 154.6229893844.

The spelling of 3696768 in words is "three million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3209 6418 9627 12836 19254 25672 28881 38508 51344 57762 77016 102688 115524 154032 205376 231048 308064 410752 462096 616128 924192 1232256 1848384 3696768