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2140002324 = 2232127468067
BaseRepresentation
bin111111110001101…
…1101100000010100
312112010210101022100
41333203131200110
513340320033244
6552203402100
7104013501555
oct17743354024
95463711270
102140002324
119a8a80469
124b8823330
13281485785
1416430032c
15c7d19b69
hex7f8dd814

2140002324 has 36 divisors (see below), whose sum is σ = 5452056064. Its totient is φ = 707715792.

The previous prime is 2140002269. The next prime is 2140002349. The reversal of 2140002324 is 4232000412.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2140002297 and 2140002306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229462 + ... + 238605.

Almost surely, 22140002324 is an apocalyptic number.

It is an amenable number.

2140002324 is an abundant number, since it is smaller than the sum of its proper divisors (3312053740).

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

2140002324 is a wasteful number, since it uses less digits than its factorization.

2140002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468204 (or 468199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2140002324 is about 46260.1591436951. The cubic root of 2140002324 is about 1288.6592090284.

Adding to 2140002324 its reverse (4232000412), we get a palindrome (6372002736).

The spelling of 2140002324 in words is "two billion, one hundred forty million, two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 468067 936134 1404201 1872268 2808402 4212603 5616804 8425206 16850412 59444509 118889018 178333527 237778036 356667054 535000581 713334108 1070001162 2140002324