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2383940 = 2251353173
BaseRepresentation
bin1001000110000001000100
311111010011002
421012001010
51102241230
6123032432
726156156
oct11060104
94433132
102383940
1113890a9
1296b718
13656120
14460ad6
15321545
hex246044

2383940 has 48 divisors (see below), whose sum is σ = 5524848. Its totient is φ = 858624.

The previous prime is 2383933. The next prime is 2383943. The reversal of 2383940 is 493832.

2383940 = T160 + T161 + ... + T263.

It can be written as a sum of positive squares in 8 ways, for example, as 18496 + 2365444 = 136^2 + 1538^2 .

It is not an unprimeable number, because it can be changed into a prime (2383943) 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, 13694 + ... + 13866.

It is an arithmetic number, because the mean of its divisors is an integer number (115101).

22383940 is an apocalyptic number.

2383940 is a gapful number since it is divisible by the number (20) 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 2383940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762424).

2383940 is an abundant number, since it is smaller than the sum of its proper divisors (3140908).

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

2383940 is a wasteful number, since it uses less digits than its factorization.

2383940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2383940 is about 1544.0012953362. The cubic root of 2383940 is about 133.5872799153.

The spelling of 2383940 in words is "two million, three hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 173 212 260 265 346 530 689 692 865 1060 1378 1730 2249 2756 3445 3460 4498 6890 8996 9169 11245 13780 18338 22490 36676 44980 45845 91690 119197 183380 238394 476788 595985 1191970 2383940