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1346111340 = 22357217231171
BaseRepresentation
bin101000000111100…
…0000011101101100
310110210221112121120
41100033000131230
510224101030330
6341323500540
745233520600
oct12017003554
93423845546
101346111340
11630932412
12316987750
13185b613b2
14caac5500
157d29cc10
hex503c076c

1346111340 has 288 divisors, whose sum is σ = 4848367104. Its totient is φ = 276756480.

The previous prime is 1346111311. The next prime is 1346111387. The reversal of 1346111340 is 431116431.

It is a self number, because there is not a number n which added to its sum of digits gives 1346111340.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1148955 + ... + 1150125.

It is an arithmetic number, because the mean of its divisors is an integer number (16834608).

Almost surely, 21346111340 is an apocalyptic number.

1346111340 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 1346111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424183552).

1346111340 is an abundant number, since it is smaller than the sum of its proper divisors (3502255764).

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

1346111340 is a wasteful number, since it uses less digits than its factorization.

1346111340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1346111340 is about 36689.3900194593. The cubic root of 1346111340 is about 1104.1472478718.

Adding to 1346111340 its reverse (431116431), we get a palindrome (1777227771).

The spelling of 1346111340 in words is "one billion, three hundred forty-six million, one hundred eleven thousand, three hundred forty".