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2979342 = 23453347
BaseRepresentation
bin1011010111011000001110
312121100220000
423113120032
51230314332
6143505130
734216062
oct13273016
95540800
102979342
111755473
12bb81a6
13804132
14577aa2
153dcb7c
hex2d760e

2979342 has 40 divisors (see below), whose sum is σ = 6821496. Its totient is φ = 971568.

The previous prime is 2979337. The next prime is 2979343. The reversal of 2979342 is 2439792.

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

It is a junction number, because it is equal to n+sod(n) for n = 2979297 and 2979306.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8413 + ... + 8759.

22979342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410748).

2979342 is an abundant number, since it is smaller than the sum of its proper divisors (3842154).

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

2979342 is a wasteful number, since it uses less digits than its factorization.

2979342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2979342 is about 1726.0770550587. The cubic root of 2979342 is about 143.8931499019.

It can be divided in two parts, 2979 and 342, that added together give a triangular number (3321 = T81).

The spelling of 2979342 in words is "two million, nine hundred seventy-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 347 477 694 954 1041 1431 2082 2862 3123 4293 6246 8586 9369 18391 18738 28107 36782 55173 56214 110346 165519 331038 496557 993114 1489671 2979342