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1032230320 = 245113493361
BaseRepresentation
bin111101100001101…
…001010110110000
32122221022201210121
4331201221112300
54103222332240
6250232140024
734402545562
oct7541512660
92587281717
101032230320
1148a737a10
12249837614
13135b13394
149b13b332
156094b04a
hex3d8695b0

1032230320 has 80 divisors (see below), whose sum is σ = 2626394400. Its totient is φ = 374169600.

The previous prime is 1032230291. The next prime is 1032230323. The reversal of 1032230320 is 230322301.

1032230320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1032230294 and 1032230303.

It is not an unprimeable number, because it can be changed into a prime (1032230323) 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, 305440 + ... + 308800.

It is an arithmetic number, because the mean of its divisors is an integer number (32829930).

Almost surely, 21032230320 is an apocalyptic number.

1032230320 is a gapful number since it is divisible by the number (10) 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 1032230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313197200).

1032230320 is an abundant number, since it is smaller than the sum of its proper divisors (1594164080).

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

1032230320 is a wasteful number, since it uses less digits than its factorization.

1032230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1032230320 is about 32128.3413826484. The cubic root of 1032230320 is about 1010.6300418205.

Adding to 1032230320 its reverse (230322301), we get a palindrome (1262552621).

The spelling of 1032230320 in words is "one billion, thirty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 349 440 698 880 1396 1745 2792 3361 3490 3839 5584 6722 6980 7678 13444 13960 15356 16805 19195 26888 27920 30712 33610 36971 38390 53776 61424 67220 73942 76780 134440 147884 153560 184855 268880 295768 307120 369710 591536 739420 1172989 1478840 2345978 2957680 4691956 5864945 9383912 11729890 12902879 18767824 23459780 25805758 46919560 51611516 64514395 93839120 103223032 129028790 206446064 258057580 516115160 1032230320