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1350223440 = 243511349787
BaseRepresentation
bin101000001111010…
…1100011001010000
310111002200110100120
41100132230121100
510231124122230
6341551550240
745313465326
oct12036543120
93432613316
101350223440
11633190945
1231822b380
13186970ca7
14cb475d16
157d811310
hex507ac650

1350223440 has 80 divisors (see below), whose sum is σ = 4222819008. Its totient is φ = 356866048.

The previous prime is 1350223423. The next prime is 1350223447. The reversal of 1350223440 is 443220531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1350223440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350223447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227 + ... + 52013.

Almost surely, 21350223440 is an apocalyptic number.

1350223440 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 1350223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111409504).

1350223440 is an abundant number, since it is smaller than the sum of its proper divisors (2872595568).

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

1350223440 is a wasteful number, since it uses less digits than its factorization.

1350223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49916 (or 49910 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1350223440 is about 36745.3866492108. The cubic root of 1350223440 is about 1105.2704210431.

Adding to 1350223440 its reverse (443220531), we get a palindrome (1793443971).

The spelling of 1350223440 in words is "one billion, three hundred fifty million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 49787 99574 149361 199148 248935 298722 398296 497870 597444 746805 796592 995740 1194888 1493610 1991480 2389776 2987220 3982960 5625931 5974440 11251862 11948880 16877793 22503724 28129655 33755586 45007448 56259310 67511172 84388965 90014896 112518620 135022344 168777930 225037240 270044688 337555860 450074480 675111720 1350223440