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2024322320 = 245193142961
BaseRepresentation
bin111100010101000…
…1011010100010000
312020002010020011202
41320222023110100
513121211303240
6532512130332
7101110312226
oct17052132420
95202106152
102024322320
1194974a359
12485b369a8
13263511c77
14152bcab16
15bcab9315
hex78a8b510

2024322320 has 80 divisors (see below), whose sum is σ = 5114196480. Its totient is φ = 742348800.

The previous prime is 2024322317. The next prime is 2024322329. The reversal of 2024322320 is 232234202.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2024322292 and 2024322301.

It is not an unprimeable number, because it can be changed into a prime (2024322329) by changing a digit.

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, 25640 + ... + 68600.

It is an arithmetic number, because the mean of its divisors is an integer number (63927456).

Almost surely, 22024322320 is an apocalyptic number.

2024322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557098240).

2024322320 is an abundant number, since it is smaller than the sum of its proper divisors (3089874160).

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

2024322320 is a wasteful number, since it uses less digits than its factorization.

2024322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43024 (or 43018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2024322320 is about 44992.4695921440. The cubic root of 2024322320 is about 1265.0078519721.

Adding to 2024322320 its reverse (232234202), we get a palindrome (2256556522).

The spelling of 2024322320 in words is "two billion, twenty-four million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 42961 47120 85922 171844 214805 343688 429610 687376 816259 859220 1331791 1632518 1718440 2663582 3265036 3436880 4081295 5327164 6530072 6658955 8162590 10654328 13060144 13317910 16325180 21308656 25304029 26635820 32650360 50608058 53271640 65300720 101216116 106543280 126520145 202432232 253040290 404864464 506080580 1012161160 2024322320