Search a number
-
+
3039296 = 26132281
BaseRepresentation
bin1011100110000001000000
312201102010112
423212001000
51234224141
6145050452
734555631
oct13460100
95642115
103039296
111796517
121026a28
13825500
14591888
154007eb
hex2e6040

3039296 has 42 divisors (see below), whose sum is σ = 6553962. Its totient is φ = 1397760.

The previous prime is 3039293. The next prime is 3039299. The reversal of 3039296 is 6929303.

It is an interprime number because it is at equal distance from previous prime (3039293) and next prime (3039299).

It can be written as a sum of positive squares in 3 ways, for example, as 25600 + 3013696 = 160^2 + 1736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3039293) 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, 10676 + ... + 10956.

Almost surely, 23039296 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 3039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276981).

3039296 is an abundant number, since it is smaller than the sum of its proper divisors (3514666).

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

3039296 is a wasteful number, since it uses less digits than its factorization.

3039296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 3039296 is about 1743.3576798810. The cubic root of 3039296 is about 144.8519455886.

It can be divided in two parts, 30 and 39296, that multiplied together give a triangular number (1178880 = T1535).

The spelling of 3039296 in words is "three million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 281 338 416 562 676 832 1124 1352 2248 2704 3653 4496 5408 7306 8992 10816 14612 17984 29224 47489 58448 94978 116896 189956 233792 379912 759824 1519648 3039296