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1031223440 = 245133892549
BaseRepresentation
bin111101011101110…
…011100010010000
32122212102120121202
4331131303202100
54102443122230
6250154410332
734361153222
oct7535634220
92585376552
101031223440
1148a10a485
122494309a8
1313584ccb0
149ad58412
15607eca45
hex3d773890

1031223440 has 80 divisors (see below), whose sum is σ = 2589678000. Its totient is φ = 379631616.

The previous prime is 1031223439. The next prime is 1031223443. The reversal of 1031223440 is 443221301.

1031223440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23541904 + 1007681536 = 4852^2 + 31744^2 .

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 not an unprimeable number, because it can be changed into a prime (1031223443) 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, 403286 + ... + 405834.

It is an arithmetic number, because the mean of its divisors is an integer number (32370975).

Almost surely, 21031223440 is an apocalyptic number.

1031223440 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 1031223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294839000).

1031223440 is an abundant number, since it is smaller than the sum of its proper divisors (1558454560).

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

1031223440 is a wasteful number, since it uses less digits than its factorization.

1031223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1031223440 is about 32112.6679053610. The cubic root of 1031223440 is about 1010.3013315187.

Adding to 1031223440 its reverse (443221301), we get a palindrome (1474444741).

The spelling of 1031223440 in words is "one billion, thirty-one million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 389 520 778 1040 1556 1945 2549 3112 3890 5057 5098 6224 7780 10114 10196 12745 15560 20228 20392 25285 25490 31120 33137 40456 40784 50570 50980 66274 80912 101140 101960 132548 165685 202280 203920 265096 331370 404560 530192 662740 991561 1325480 1983122 2650960 3966244 4957805 7932488 9915610 12890293 15864976 19831220 25780586 39662440 51561172 64451465 79324880 103122344 128902930 206244688 257805860 515611720 1031223440