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2980984 = 231723953
BaseRepresentation
bin1011010111110001111000
312121110010211
423113301320
51230342414
6143520504
734223626
oct13276170
95543124
102980984
111756726
12bb9134
13804ac6
14578516
153dd3c4
hex2d7c78

2980984 has 32 divisors (see below), whose sum is σ = 6181920. Its totient is φ = 1340416.

The previous prime is 2980981. The next prime is 2980993. The reversal of 2980984 is 4890892.

2980984 = T135 + T136 + ... + T272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2652 + ... + 3604.

It is an arithmetic number, because the mean of its divisors is an integer number (193185).

22980984 is an apocalyptic number.

It is an amenable number.

2980984 is an abundant number, since it is smaller than the sum of its proper divisors (3200936).

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

2980984 is a wasteful number, since it uses less digits than its factorization.

2980984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 2980984 is about 1726.5526345872. The cubic root of 2980984 is about 143.9195795812.

The spelling of 2980984 in words is "two million, nine hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 953 1564 1906 3128 3812 7624 16201 21919 32402 43838 64804 87676 129608 175352 372623 745246 1490492 2980984