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1355234300 = 2252713114779
BaseRepresentation
bin101000011000111…
…0011101111111100
310111110010000221222
41100301303233330
510233414444200
6342251212512
745404205260
oct12061635774
93443100858
101355234300
11635aa3652
12319a47138
13187a069b4
14cbdbc0a0
157dea0d85
hex50c73bfc

1355234300 has 72 divisors (see below), whose sum is σ = 3386866560. Its totient is φ = 461073600.

The previous prime is 1355234291. The next prime is 1355234303. The reversal of 1355234300 is 34325531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355234300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355234303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84311 + ... + 99089.

Almost surely, 21355234300 is an apocalyptic number.

1355234300 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 1355234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693433280).

1355234300 is an abundant number, since it is smaller than the sum of its proper divisors (2031632260).

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

1355234300 is a wasteful number, since it uses less digits than its factorization.

1355234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14931 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 1355234300 is about 36813.5070320664. The cubic root of 1355234300 is about 1106.6360019970.

Adding to 1355234300 its reverse (34325531), we get a palindrome (1389559831).

It can be divided in two parts, 13552 and 34300, that multiplied together give a square (464833600 = 215602).

The spelling of 1355234300 in words is "one billion, three hundred fifty-five million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 524 655 700 917 1310 1834 2620 3275 3668 4585 6550 9170 13100 14779 18340 22925 29558 45850 59116 73895 91700 103453 147790 206906 295580 369475 413812 517265 738950 1034530 1477900 1936049 2069060 2586325 3872098 5172650 7744196 9680245 10345300 13552343 19360490 27104686 38720980 48401225 54209372 67761715 96802450 135523430 193604900 271046860 338808575 677617150 1355234300