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2972384 = 25293203
BaseRepresentation
bin1011010101101011100000
312121000100022
423111223200
51230104014
6143413012
734156562
oct13255340
95530308
102972384
111750218
12bb4168
13800c0c
14575332
153daa8e
hex2d5ae0

2972384 has 24 divisors (see below), whose sum is σ = 6055560. Its totient is φ = 1434496.

The previous prime is 2972383. The next prime is 2972419. The reversal of 2972384 is 4832792.

2972384 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 (2972383) 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 3 ways as a sum of consecutive naturals, for example, 674 + ... + 2529.

It is an arithmetic number, because the mean of its divisors is an integer number (252315).

22972384 is an apocalyptic number.

It is an amenable number.

2972384 is an abundant number, since it is smaller than the sum of its proper divisors (3083176).

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

2972384 is a wasteful number, since it uses less digits than its factorization.

2972384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3234 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 2972384 is about 1724.0603237706. The cubic root of 2972384 is about 143.7810458465.

The spelling of 2972384 in words is "two million, nine hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 3203 6406 12812 25624 51248 92887 102496 185774 371548 743096 1486192 2972384