Search a number
-
+
1352016330 = 235723129669
BaseRepresentation
bin101000010010110…
…0010000111001010
310111020001112201220
41100211202013022
510232104010310
6342054222510
745334643400
oct12045420712
93436045656
101352016330
116341a5975
12318954a36
1318714b082
14cb7c1470
157da67670
hex509621ca

1352016330 has 96 divisors (see below), whose sum is σ = 3896501760. Its totient is φ = 299053440.

The previous prime is 1352016311. The next prime is 1352016331. The reversal of 1352016330 is 336102531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1352016330.

It is not an unprimeable number, because it can be changed into a prime (1352016331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30736 + ... + 60404.

It is an arithmetic number, because the mean of its divisors is an integer number (40588560).

Almost surely, 21352016330 is an apocalyptic number.

1352016330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352016330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948250880).

1352016330 is an abundant number, since it is smaller than the sum of its proper divisors (2544485430).

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

1352016330 is a wasteful number, since it uses less digits than its factorization.

1352016330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29724 (or 29717 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1352016330 is about 36769.7746797557. The cubic root of 1352016330 is about 1105.7594146356.

Adding to 1352016330 its reverse (336102531), we get a palindrome (1688118861).

The spelling of 1352016330 in words is "one billion, three hundred fifty-two million, sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 3038 3255 4557 6510 7595 9114 15190 22785 29669 45570 59338 89007 148345 178014 207683 296690 415366 445035 623049 890070 919739 1038415 1246098 1453781 1839478 2076830 2759217 2907562 3115245 4361343 4598695 5518434 6230490 6438173 7268905 8722686 9197390 12876346 13796085 14537810 19314519 21806715 27592170 32190865 38629038 43613430 45067211 64381730 90134422 96572595 135201633 193145190 225336055 270403266 450672110 676008165 1352016330