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3845940 = 223579157
BaseRepresentation
bin1110101010111100110100
321020101122020
432222330310
51441032230
6214233140
744455440
oct16527464
97211566
103845940
11219756a
1213557b0
13a48707
14721820
1550e810
hex3aaf34

3845940 has 48 divisors (see below), whose sum is σ = 12308352. Its totient is φ = 878976.

The previous prime is 3845939. The next prime is 3845977. The reversal of 3845940 is 495483.

3845940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4159 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (256424).

Almost surely, 23845940 is an apocalyptic number.

3845940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3845940 is an abundant number, since it is smaller than the sum of its proper divisors (8462412).

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

3845940 is a wasteful number, since it uses less digits than its factorization.

3845940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3845940 is about 1961.1068303384. The cubic root of 3845940 is about 156.6754081939.

The spelling of 3845940 in words is "three million, eight hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 9157 18314 27471 36628 45785 54942 64099 91570 109884 128198 137355 183140 192297 256396 274710 320495 384594 549420 640990 769188 961485 1281980 1922970 3845940