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1356325300 = 2252112197569
BaseRepresentation
bin101000011010111…
…1110000110110100
310111112011110112101
41100311332012310
510234204402200
6342330431444
745416401111
oct12065760664
93445143471
101356325300
11636679300
1231a292584
13187cc9465
14cc1c3908
157e11926a
hex50d7e1b4

1356325300 has 108 divisors (see below), whose sum is σ = 3257252460. Its totient is φ = 489843200.

The previous prime is 1356325261. The next prime is 1356325309. The reversal of 1356325300 is 35236531.

It can be written as a sum of positive squares in 6 ways, for example, as 23716 + 1356301584 = 154^2 + 36828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356325309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2383416 + ... + 2383984.

It is an arithmetic number, because the mean of its divisors is an integer number (30159745).

Almost surely, 21356325300 is an apocalyptic number.

1356325300 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 1356325300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628626230).

1356325300 is an abundant number, since it is smaller than the sum of its proper divisors (1900927160).

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

1356325300 is a wasteful number, since it uses less digits than its factorization.

1356325300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 1356325300 is about 36828.3219818661. The cubic root of 1356325300 is about 1106.9328795782.

The spelling of 1356325300 in words is "one billion, three hundred fifty-six million, three hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 197 220 242 275 394 484 550 569 605 788 985 1100 1138 1210 1970 2167 2276 2420 2845 3025 3940 4334 4925 5690 6050 6259 8668 9850 10835 11380 12100 12518 14225 19700 21670 23837 25036 28450 31295 43340 47674 54175 56900 62590 68849 95348 108350 112093 119185 125180 137698 156475 216700 224186 238370 275396 312950 344245 448372 476740 560465 595925 625900 688490 1120930 1191850 1233023 1376980 1721225 2241860 2383700 2466046 2802325 3442450 4932092 5604650 6165115 6884900 11209300 12330230 13563253 24660460 27126506 30825575 54253012 61651150 67816265 123302300 135632530 271265060 339081325 678162650 1356325300