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2973264 = 24378849
BaseRepresentation
bin1011010101111001010000
312121001112220
423111321100
51230121024
6143421040
734162260
oct13257120
95531486
102973264
111750948
12bb4780
13801438
145757a0
153dae79
hex2d5e50

2973264 has 40 divisors (see below), whose sum is σ = 8779200. Its totient is φ = 849408.

The previous prime is 2973263. The next prime is 2973277. The reversal of 2973264 is 4623792.

2973264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973263) 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 7 ways as a sum of consecutive naturals, for example, 4089 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (219480).

22973264 is an apocalyptic number.

2973264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2973264 is an abundant number, since it is smaller than the sum of its proper divisors (5805936).

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

2973264 is a wasteful number, since it uses less digits than its factorization.

2973264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8861 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2973264 is about 1724.3155163716. The cubic root of 2973264 is about 143.7952336540.

The spelling of 2973264 in words is "two million, nine hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 8849 17698 26547 35396 53094 61943 70792 106188 123886 141584 185829 212376 247772 371658 424752 495544 743316 991088 1486632 2973264