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1032234320 = 245134612153
BaseRepresentation
bin111101100001101…
…010010101010000
32122221022221021202
4331201222111100
54103222444240
6250232210332
734402563335
oct7541522520
92587287252
101032234320
1148a73aa17
122498399a8
13135b15150
149b13c98c
156094c315
hex3d86a550

1032234320 has 80 divisors (see below), whose sum is σ = 2591365392. Its totient is φ = 380129280.

The previous prime is 1032234289. The next prime is 1032234331. The reversal of 1032234320 is 234322301.

It can be written as a sum of positive squares in 8 ways, for example, as 341806144 + 690428176 = 18488^2 + 26276^2 .

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 = 1032234292 and 1032234301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478364 + ... + 480516.

Almost surely, 21032234320 is an apocalyptic number.

1032234320 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 1032234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295682696).

1032234320 is an abundant number, since it is smaller than the sum of its proper divisors (1559131072).

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

1032234320 is a wasteful number, since it uses less digits than its factorization.

1032234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1032234320 is about 32128.4036329227. The cubic root of 1032234320 is about 1010.6313472510.

Adding to 1032234320 its reverse (234322301), we get a palindrome (1266556621).

The spelling of 1032234320 in words is "one billion, thirty-two million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 461 520 922 1040 1844 2153 2305 3688 4306 4610 5993 7376 8612 9220 10765 11986 17224 18440 21530 23972 27989 29965 34448 36880 43060 47944 55978 59930 86120 95888 111956 119860 139945 172240 223912 239720 279890 447824 479440 559780 992533 1119560 1985066 2239120 3970132 4962665 7940264 9925330 12902929 15880528 19850660 25805858 39701320 51611716 64514645 79402640 103223432 129029290 206446864 258058580 516117160 1032234320