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1030313232 = 243213242337
BaseRepresentation
bin111101011010010…
…101010100010000
32122210201100001100
4331122111110100
54102230010412
6250123104400
734350342444
oct7532252420
92583640040
101030313232
11489648643
12249072100
131355c1900
149ab9c824
15606bcedc
hex3d695510

1030313232 has 90 divisors (see below), whose sum is σ = 3122385162. Its totient is φ = 317011968.

The previous prime is 1030313227. The next prime is 1030313243. The reversal of 1030313232 is 2323130301.

It can be written as a sum of positive squares in 3 ways, for example, as 32764176 + 997549056 = 5724^2 + 31584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3168 + ... + 45504.

Almost surely, 21030313232 is an apocalyptic number.

1030313232 is a gapful number since it is divisible by the number (12) 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 1030313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561192581).

1030313232 is an abundant number, since it is smaller than the sum of its proper divisors (2092071930).

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

1030313232 is a wasteful number, since it uses less digits than its factorization.

1030313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42377 (or 42355 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1030313232 is about 32098.4926748905. The cubic root of 1030313232 is about 1010.0039969779.

Adding to 1030313232 its reverse (2323130301), we get a palindrome (3353443533).

The spelling of 1030313232 in words is "one billion, thirty million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 42337 84674 127011 169348 254022 338696 381033 508044 550381 677392 762066 1016088 1100762 1524132 1651143 2032176 2201524 3048264 3302286 4403048 4953429 6096528 6604572 7154953 8806096 9906858 13209144 14309906 19813716 21464859 26418288 28619812 39627432 42929718 57239624 64394577 79254864 85859436 114479248 128789154 171718872 257578308 343437744 515156616 1030313232