Search a number
-
+
2738916 = 223276081
BaseRepresentation
bin1010011100101011100100
312011011002100
422130223210
51200121131
6134412100
732165115
oct12345344
95134070
102738916
111600874
12b01030
1374b87b
1451420c
153917e6
hex29cae4

2738916 has 18 divisors (see below), whose sum is σ = 6923462. Its totient is φ = 912960.

The previous prime is 2738899. The next prime is 2738933. The reversal of 2738916 is 6198372.

2738916 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 (2738899) and next prime (2738933).

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 1166400 = 1254^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 76081 = 2738916 / (2 + 7 + 3 + 8 + 9 + 1 + 6).

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 5 ways as a sum of consecutive naturals, for example, 38005 + ... + 38076.

22738916 is an apocalyptic number.

It is an amenable number.

2738916 is an abundant number, since it is smaller than the sum of its proper divisors (4184546).

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

2738916 is a wasteful number, since it uses less digits than its factorization.

2738916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76091 (or 76086 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2738916 is about 1654.9670691588. The cubic root of 2738916 is about 139.9134839615.

The spelling of 2738916 in words is "two million, seven hundred thirty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 76081 152162 228243 304324 456486 684729 912972 1369458 2738916