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2979396 = 223372563
BaseRepresentation
bin1011010111011001000100
312121100222000
423113121010
51230320041
6143505300
734216200
oct13273104
95540860
102979396
111755512
12bb8230
13804174
14577b00
153dcbb6
hex2d7644

2979396 has 72 divisors (see below), whose sum is σ = 9001440. Its totient is φ = 849744.

The previous prime is 2979391. The next prime is 2979407. The reversal of 2979396 is 6939792.

2979396 = T105 + T106 + ... + T266.

2979396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2979391) 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 23 ways as a sum of consecutive naturals, for example, 5011 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (125020).

22979396 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 2979396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500720).

2979396 is an abundant number, since it is smaller than the sum of its proper divisors (6022044).

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

2979396 is a wasteful number, since it uses less digits than its factorization.

2979396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 2979396 is about 1726.0926973949. The cubic root of 2979396 is about 143.8940192419.

It can be divided in two parts, 2979 and 396, that added together give a cube (3375 = 153).

The spelling of 2979396 in words is "two million, nine hundred seventy-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 563 588 756 882 1126 1323 1689 1764 2252 2646 3378 3941 5067 5292 6756 7882 10134 11823 15201 15764 20268 23646 27587 30402 35469 47292 55174 60804 70938 82761 106407 110348 141876 165522 212814 248283 331044 425628 496566 744849 993132 1489698 2979396