Search a number
-
+
2979340 = 2257131637
BaseRepresentation
bin1011010111011000001100
312121100212221
423113120030
51230314330
6143505124
734216060
oct13273014
95540787
102979340
111755471
12bb81a4
13804130
14577aa0
153dcb7a
hex2d760c

2979340 has 48 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 942336.

The previous prime is 2979337. The next prime is 2979343. The reversal of 2979340 is 439792.

2979340 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 (2979337) and next prime (2979343).

It is a junction number, because it is equal to n+sod(n) for n = 2979296 and 2979305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979343) 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, 1002 + ... + 2638.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

22979340 is an apocalyptic number.

2979340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2979340 is an abundant number, since it is smaller than the sum of its proper divisors (4725812).

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

2979340 is a wasteful number, since it uses less digits than its factorization.

2979340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 2979340 is about 1726.0764757102. The cubic root of 2979340 is about 143.8931177040.

The spelling of 2979340 in words is "two million, nine hundred seventy-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1637 1820 3274 6548 8185 11459 16370 21281 22918 32740 42562 45836 57295 85124 106405 114590 148967 212810 229180 297934 425620 595868 744835 1489670 2979340