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2973124 = 227311197
BaseRepresentation
bin1011010101110111000100
312121001100201
423111313010
51230114444
6143420244
734162000
oct13256704
95531321
102973124
111750830
12bb4684
1380135b
14575700
153dadd4
hex2d5dc4

2973124 has 48 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 1152480.

The previous prime is 2973121. The next prime is 2973151. The reversal of 2973124 is 4213792.

2973124 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

2973124 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2973092 and 2973101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14994 + ... + 15190.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

22973124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2973124 is an abundant number, since it is smaller than the sum of its proper divisors (3679676).

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

2973124 is a wasteful number, since it uses less digits than its factorization.

2973124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 2973124 is about 1724.2749200751. The cubic root of 2973124 is about 143.7929766901.

It can be divided in two parts, 29 and 73124, that added together give a triangular number (73153 = T382).

The spelling of 2973124 in words is "two million, nine hundred seventy-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 197 308 343 394 539 686 788 1078 1372 1379 2156 2167 2758 3773 4334 5516 7546 8668 9653 15092 15169 19306 30338 38612 60676 67571 106183 135142 212366 270284 424732 743281 1486562 2973124