Search a number
-
+
3763396 = 227313211
BaseRepresentation
bin1110010110110011000100
321002012102001
432112303010
51430412041
6212355044
743663000
oct16266304
97065361
103763396
11214054a
121315a84
13a19c80
146dd700
154e5131
hex396cc4

3763396 has 48 divisors (see below), whose sum is σ = 8310400. Its totient is φ = 1481760.

The previous prime is 3763363. The next prime is 3763399. The reversal of 3763396 is 6933673.

3763396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3763396 is a nontrivial binomial coefficient, being equal to C(2744, 2).

It is not an unprimeable number, because it can be changed into a prime (3763399) 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 15 ways as a sum of consecutive naturals, for example, 17731 + ... + 17941.

Almost surely, 23763396 is an apocalyptic number.

3763396 is the 2743-rd triangular number and also the 1372-nd hexagonal number.

3763396 is the 915-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3763396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155200).

3763396 is an abundant number, since it is smaller than the sum of its proper divisors (4547004).

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

3763396 is a wasteful number, since it uses less digits than its factorization.

3763396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its digits is 61236, while the sum is 37.

The square root of 3763396 is about 1939.9474219679. The cubic root of 3763396 is about 155.5464031652.

The spelling of 3763396 in words is "three million, seven hundred sixty-three thousand, three hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 211 343 364 422 637 686 844 1274 1372 1477 2548 2743 2954 4459 5486 5908 8918 10339 10972 17836 19201 20678 38402 41356 72373 76804 134407 144746 268814 289492 537628 940849 1881698 3763396