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1031004320 = 25533719121
BaseRepresentation
bin111101011100111…
…110000010100000
32122212000110001012
4331130332002200
54102414114240
6250150000052
734356251333
oct7534760240
92585013035
101031004320
11489a7a895
12249346028
131357a4338
149acdc61a
15607a7b65
hex3d73e0a0

1031004320 has 48 divisors (see below), whose sum is σ = 2443103208. Its totient is φ = 411156480.

The previous prime is 1031004319. The next prime is 1031004329. The reversal of 1031004320 is 234001301.

1031004320 is digitally balanced in base 2, 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 4 ways, for example, as 894488464 + 136515856 = 29908^2 + 11684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1031004295 and 1031004304.

It is not an unprimeable number, because it can be changed into a prime (1031004329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44360 + ... + 63480.

Almost surely, 21031004320 is an apocalyptic number.

1031004320 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 1031004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221551604).

1031004320 is an abundant number, since it is smaller than the sum of its proper divisors (1412098888).

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

1031004320 is a wasteful number, since it uses less digits than its factorization.

1031004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19473 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1031004320 is about 32109.2559863974. The cubic root of 1031004320 is about 1010.2297683311.

Adding to 1031004320 its reverse (234001301), we get a palindrome (1265005621).

The spelling of 1031004320 in words is "one billion, thirty-one million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 5392 6740 10784 13480 19121 26960 38242 53920 76484 95605 152968 191210 305936 382420 611872 764840 1529680 3059360 6443777 12887554 25775108 32218885 51550216 64437770 103100432 128875540 206200864 257751080 515502160 1031004320