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2412002320 = 245713331319
BaseRepresentation
bin1000111111000100…
…0011110000010000
320020002121102011021
42033301003300100
514414433033240
61035201325224
7113525452510
oct21761036020
96202542137
102412002320
111028570052
12573936814
132c592ba10
1418c4a5840
15e1b4754a
hex8fc43c10

2412002320 has 80 divisors (see below), whose sum is σ = 6902058240. Its totient is φ = 763356672.

The previous prime is 2412002309. The next prime is 2412002339. The reversal of 2412002320 is 232002142.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2412002294 and 2412002303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158380 + ... + 172939.

It is an arithmetic number, because the mean of its divisors is an integer number (86275728).

Almost surely, 22412002320 is an apocalyptic number.

2412002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412002320 is an abundant number, since it is smaller than the sum of its proper divisors (4490055920).

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

2412002320 is a wasteful number, since it uses less digits than its factorization.

2412002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331352 (or 331346 counting only the distinct ones).

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

The square root of 2412002320 is about 49112.1402506549. The cubic root of 2412002320 is about 1341.0940645359.

Adding to 2412002320 its reverse (232002142), we get a palindrome (2644004462).

The spelling of 2412002320 in words is "two billion, four hundred twelve million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 331319 662638 1325276 1656595 2319233 2650552 3313190 4307147 4638466 5301104 6626380 8614294 9276932 11596165 13252760 17228588 18553864 21535735 23192330 26505520 30150029 34457176 37107728 43071470 46384660 60300058 68914352 86142940 92769320 120600116 150750145 172285880 185538640 241200232 301500290 344571760 482400464 603000580 1206001160 2412002320