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383940 = 2235579
BaseRepresentation
bin1011101101111000100
3201111200000
41131233010
544241230
612121300
73156234
oct1355704
9644600
10383940
11242507
12166230
131059ab
149dcc4
1578b60
hex5dbc4

383940 has 72 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 101088.

The previous prime is 383923. The next prime is 383941. The reversal of 383940 is 49383.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383941) by changing a digit.

383940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 4821 + ... + 4899.

2383940 is an apocalyptic number.

383940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

383940 is an abundant number, since it is smaller than the sum of its proper divisors (839100).

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

383940 is a wasteful number, since it uses less digits than its factorization.

383940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 383940 is about 619.6289212101. The cubic root of 383940 is about 72.6810378482.

The spelling of 383940 in words is "three hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 243 270 316 324 395 405 474 486 540 711 790 810 948 972 1185 1215 1422 1580 1620 2133 2370 2430 2844 3555 4266 4740 4860 6399 7110 8532 10665 12798 14220 19197 21330 25596 31995 38394 42660 63990 76788 95985 127980 191970 383940