Search a number
-
+
3036996 = 2232292909
BaseRepresentation
bin1011100101011101000100
312201021222100
423211131010
51234140441
6145032100
734546134
oct13453504
95637870
103036996
111794816
121025630
13824451
14590ac4
153eecb6
hex2e5744

3036996 has 36 divisors (see below), whose sum is σ = 7944300. Its totient is φ = 977088.

The previous prime is 3036983. The next prime is 3037009. The reversal of 3036996 is 6996303.

3036996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3036983) and next prime (3037009).

It can be written as a sum of positive squares in 2 ways, for example, as 2160900 + 876096 = 1470^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 3036996.

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 11 ways as a sum of consecutive naturals, for example, 411 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (220675).

Almost surely, 23036996 is an apocalyptic number.

3036996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3036996 is an abundant number, since it is smaller than the sum of its proper divisors (4907304).

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

3036996 is a wasteful number, since it uses less digits than its factorization.

3036996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3036996 is about 1742.6979084167. The cubic root of 3036996 is about 144.8153972618.

The spelling of 3036996 in words is "three million, thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2909 5818 8727 11636 17454 26181 34908 52362 84361 104724 168722 253083 337444 506166 759249 1012332 1518498 3036996