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2973940 = 225241617
BaseRepresentation
bin1011010110000011110100
312121002110221
423112003310
51230131230
6143424124
734164244
oct13260364
95532427
102973940
111751402
12bb5044
13801838
14575b24
153db27a
hex2d60f4

2973940 has 24 divisors (see below), whose sum is σ = 6281352. Its totient is φ = 1182720.

The previous prime is 2973931. The next prime is 2973941. The reversal of 2973940 is 493792.

2973940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 2910436 = 252^2 + 1706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2973896 and 2973905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973941) 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, 4512 + ... + 5128.

It is an arithmetic number, because the mean of its divisors is an integer number (261723).

22973940 is an apocalyptic number.

2973940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2973940 is an abundant number, since it is smaller than the sum of its proper divisors (3307412).

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

2973940 is a wasteful number, since it uses less digits than its factorization.

2973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 2973940 is about 1724.5115250412. The cubic root of 2973940 is about 143.8061305686.

The spelling of 2973940 in words is "two million, nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 241 482 617 964 1205 1234 2410 2468 3085 4820 6170 12340 148697 297394 594788 743485 1486970 2973940