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321400002400 = 25521921144737
BaseRepresentation
bin1001010110101001110…
…11101101011101100000
31010201120220210210020121
410223110323231131200
520231211400034100
6403352113250024
732135406642031
oct4532473553540
91121526723217
10321400002400
11114339a168a4
1252358263914
1324400586119
14117ad33aa88
1585612c051a
hex4ad4eed760

321400002400 has 72 divisors (see below), whose sum is σ = 825913466280. Its totient is φ = 121793679360.

The previous prime is 321400002397. The next prime is 321400002431. The reversal of 321400002400 is 4200004123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10557169 + ... + 10587568.

It is an arithmetic number, because the mean of its divisors is an integer number (11471020365).

Almost surely, 2321400002400 is an apocalyptic number.

It is an amenable number.

321400002400 is an abundant number, since it is smaller than the sum of its proper divisors (504513463880).

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

321400002400 is a wasteful number, since it uses less digits than its factorization.

321400002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21144776 (or 21144763 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 321400002400 its reverse (4200004123), we get a palindrome (325600006523).

The spelling of 321400002400 in words is "three hundred twenty-one billion, four hundred million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 21144737 42289474 84578948 105723685 169157896 211447370 338315792 401750003 422894740 528618425 676631584 803500006 845789480 1057236850 1607000012 1691578960 2008750015 2114473700 3214000024 3383157920 4017500030 4228947400 6428000048 8035000060 8457894800 10043750075 12856000096 16070000120 16915789600 20087500150 32140000240 40175000300 64280000480 80350000600 160700001200 321400002400