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3772296 = 2332112433
BaseRepresentation
bin1110011000111110001000
321002122121200
432120332020
51431203141
6212504200
744030643
oct16307610
97078550
103772296
112147200
12131b060
13a21038
14702a5a
154e7ab6
hex398f88

3772296 has 72 divisors (see below), whose sum is σ = 11255790. Its totient is φ = 1140480.

The previous prime is 3772271. The next prime is 3772303. The reversal of 3772296 is 6922773.

3772296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3663396 + 108900 = 1914^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×37722962 = 28460434223232, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 313 + 77 + 77 + 25 + 219 + 94 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 3772296.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 8496 + ... + 8928.

Almost surely, 23772296 is an apocalyptic number.

3772296 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 3772296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627895).

3772296 is an abundant number, since it is smaller than the sum of its proper divisors (7483494).

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

3772296 is a wasteful number, since it uses less digits than its factorization.

3772296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3772296 is about 1942.2399439822. The cubic root of 3772296 is about 155.6689231032.

The spelling of 3772296 in words is "three million, seven hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 433 484 726 792 866 968 1089 1299 1452 1732 2178 2598 2904 3464 3897 4356 4763 5196 7794 8712 9526 10392 14289 15588 19052 28578 31176 38104 42867 52393 57156 85734 104786 114312 157179 171468 209572 314358 342936 419144 471537 628716 943074 1257432 1886148 3772296