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9240390 = 2325831237
BaseRepresentation
bin100011001111…
…111101000110
3122101110102200
4203033331012
54331143030
6530015330
7141353625
oct43177506
918343380
109240390
115241495
123117546
131bb6bb3
1413276bc
15c27d60
hex8cff46

9240390 has 48 divisors (see below), whose sum is σ = 24334128. Its totient is φ = 2432448.

The previous prime is 9240383. The next prime is 9240409. The reversal of 9240390 is 930429.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6852 + ... + 8088.

It is an arithmetic number, because the mean of its divisors is an integer number (506961).

Almost surely, 29240390 is an apocalyptic number.

9240390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9240390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167064).

9240390 is an abundant number, since it is smaller than the sum of its proper divisors (15093738).

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

9240390 is a wasteful number, since it uses less digits than its factorization.

9240390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9240390 is about 3039.8009803275. The cubic root of 9240390 is about 209.8441019815.

The spelling of 9240390 in words is "nine million, two hundred forty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1237 1245 1494 2474 2490 3711 3735 6185 7422 7470 11133 12370 18555 22266 37110 55665 102671 111330 205342 308013 513355 616026 924039 1026710 1540065 1848078 3080130 4620195 9240390