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2383936 = 261932
BaseRepresentation
bin1001000110000001000000
311111010010221
421012001000
51102241221
6123032424
726156152
oct11060100
94433127
102383936
1113890a5
1296b714
13656119
14460ad2
15321541
hex246040

2383936 has 21 divisors (see below), whose sum is σ = 4755261. Its totient is φ = 1185792.

The previous prime is 2383933. The next prime is 2383943. The reversal of 2383936 is 6393832.

The square root of 2383936 is 1544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 1806336 = 760^2 + 1344^2 .

It is a d-powerful number, because it can be written as 221 + 33 + 8 + 35 + 9 + 38 + 67 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2383933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12256 + ... + 12448.

It is an arithmetic number, because the mean of its divisors is an integer number (226441).

22383936 is an apocalyptic number.

2383936 is the 1544-th square number.

It is an amenable number.

2383936 is a deficient number, since it is larger than the sum of its proper divisors (2371325).

2383936 is an frugal number, since it uses more digits than its factorization.

2383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 195 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The cubic root of 2383936 is about 133.5872052002.

The spelling of 2383936 in words is "two million, three hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 193 386 772 1544 3088 6176 12352 37249 74498 148996 297992 595984 1191968 2383936