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2003864381 = 41731933469
BaseRepresentation
bin111011101110000…
…1000101100111101
312011122121212011022
41313130020230331
513100442130011
6530501433525
7100441365131
oct16734105475
95148555138
102003864381
11939146a72
1247b10b8a5
1325c1cb28c
141501c33c1
15badc78db
hex77708b3d

2003864381 has 16 divisors (see below), whose sum is σ = 2092243440. Its totient is φ = 1917665280.

The previous prime is 2003864353. The next prime is 2003864383. The reversal of 2003864381 is 1834683002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 815959225 + 1187905156 = 28565^2 + 34466^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003864381 - 210 = 2003863357 is a prime.

It is a super-2 number, since 2×20038643812 = 8030944914881026322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003864383) 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, 575915 + ... + 579383.

It is an arithmetic number, because the mean of its divisors is an integer number (130765215).

Almost surely, 22003864381 is an apocalyptic number.

It is an amenable number.

2003864381 is a deficient number, since it is larger than the sum of its proper divisors (88379059).

2003864381 is a wasteful number, since it uses less digits than its factorization.

2003864381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2003864381 is about 44764.5437930512. The cubic root of 2003864381 is about 1260.7319969786.

The spelling of 2003864381 in words is "two billion, three million, eight hundred sixty-four thousand, three hundred eighty-one".

Divisors: 1 41 73 193 2993 3469 7913 14089 142229 253237 577649 669517 10382717 27450197 48874741 2003864381