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1346135340 = 22351129531327
BaseRepresentation
bin101000000111100…
…0110010100101100
310110210222202112110
41100033012110230
510224102312330
6341324204020
745233650554
oct12017062454
93423882473
101346135340
11630949450
12316999610
13185b6c2b4
14caad0164
157d2a4db0
hex503c652c

1346135340 has 192 divisors, whose sum is σ = 4337141760. Its totient is φ = 308904960.

The previous prime is 1346135303. The next prime is 1346135341. The reversal of 1346135340 is 435316431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1346135298 and 1346135307.

It is not an unprimeable number, because it can be changed into a prime (1346135341) 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 63 ways as a sum of consecutive naturals, for example, 1013757 + ... + 1015083.

It is an arithmetic number, because the mean of its divisors is an integer number (22589280).

Almost surely, 21346135340 is an apocalyptic number.

1346135340 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 1346135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168570880).

1346135340 is an abundant number, since it is smaller than the sum of its proper divisors (2991006420).

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

1346135340 is a wasteful number, since it uses less digits than its factorization.

1346135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1346135340 is about 36689.7170880344. The cubic root of 1346135340 is about 1104.1538098293.

The spelling of 1346135340 in words is "one billion, three hundred forty-six million, one hundred thirty-five thousand, three hundred forty".