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1349869300 = 22521310192
BaseRepresentation
bin101000001110101…
…0101111011110100
310111002000110120021
41100131111323310
510231031304200
6341540214524
745310462003
oct12035257364
93432013507
101349869300
11632a6986a
1231809a444
13186878a40
14cb3c2c3a
157d79141a
hex50755ef4

1349869300 has 54 divisors (see below), whose sum is σ = 3157639478. Its totient is φ = 497924160.

The previous prime is 1349869277. The next prime is 1349869321. The reversal of 1349869300 is 39689431.

It can be written as a sum of positive squares in 3 ways, for example, as 4153444 + 1345715856 = 2038^2 + 36684^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1324191 + ... + 1325209.

Almost surely, 21349869300 is an apocalyptic number.

1349869300 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 1349869300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578819739).

1349869300 is an abundant number, since it is smaller than the sum of its proper divisors (1807770178).

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

1349869300 is a wasteful number, since it uses less digits than its factorization.

1349869300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 1349869300 is about 36740.5674969781. The cubic root of 1349869300 is about 1105.1737815583.

The spelling of 1349869300 in words is "one billion, three hundred forty-nine million, eight hundred sixty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1019 1300 2038 4076 5095 10190 13247 20380 25475 26494 50950 52988 66235 101900 132470 264940 331175 662350 1038361 1324700 2076722 4153444 5191805 10383610 13498693 20767220 25959025 26997386 51918050 53994772 67493465 103836100 134986930 269973860 337467325 674934650 1349869300