Search a number
-
+
1345313550 = 235271498599
BaseRepresentation
bin101000000101111…
…1101101100001110
310110202110000020210
41100023331230032
510223400013200
6341254423250
745223655640
oct12013755416
93422400223
101345313550
11630437a89
12316661b26
13185942229
14ca958890
157d191650
hex502fdb0e

1345313550 has 96 divisors (see below), whose sum is σ = 3839040000. Its totient is φ = 305400960.

The previous prime is 1345313549. The next prime is 1345313561. The reversal of 1345313550 is 553135431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152151 + ... + 160749.

It is an arithmetic number, because the mean of its divisors is an integer number (39990000).

Almost surely, 21345313550 is an apocalyptic number.

1345313550 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 1345313550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919520000).

1345313550 is an abundant number, since it is smaller than the sum of its proper divisors (2493726450).

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

1345313550 is a wasteful number, since it uses less digits than its factorization.

1345313550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 1345313550 is about 36678.5161913619. The cubic root of 1345313550 is about 1103.9290757971.

Adding to 1345313550 its reverse (553135431), we get a palindrome (1898448981).

The spelling of 1345313550 in words is "one billion, three hundred forty-five million, three hundred thirteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 149 150 175 210 298 350 447 525 745 894 1043 1050 1490 2086 2235 3129 3725 4470 5215 6258 7450 8599 10430 11175 15645 17198 22350 25797 26075 31290 42995 51594 52150 60193 78225 85990 120386 128985 156450 180579 214975 257970 300965 361158 429950 601930 644925 902895 1281251 1289850 1504825 1805790 2562502 3009650 3843753 4514475 6406255 7687506 8968757 9028950 12812510 17937514 19218765 26906271 32031275 38437530 44843785 53812542 64062550 89687570 96093825 134531355 192187650 224218925 269062710 448437850 672656775 1345313550