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1345928976 = 2432729411123
BaseRepresentation
bin101000000111001…
…0011111100010000
310110210121021110100
41100032103330100
510224024211401
6341315532400
745232131120
oct12016237420
93423537410
101345928976
116308183a7
123168ba100
13185ac93a2
14caa78c80
157d263b86
hex50393f10

1345928976 has 240 divisors, whose sum is σ = 4565957760. Its totient is φ = 361912320.

The previous prime is 1345928971. The next prime is 1345928993. The reversal of 1345928976 is 6798295431.

It is not an unprimeable number, because it can be changed into a prime (1345928971) 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 47 ways as a sum of consecutive naturals, for example, 1197951 + ... + 1199073.

It is an arithmetic number, because the mean of its divisors is an integer number (19024824).

Almost surely, 21345928976 is an apocalyptic number.

1345928976 is a gapful number since it is divisible by the number (16) 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 1345928976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282978880).

1345928976 is an abundant number, since it is smaller than the sum of its proper divisors (3220028784).

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

1345928976 is a wasteful number, since it uses less digits than its factorization.

1345928976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1345928976 is about 36686.9046936369. The cubic root of 1345928976 is about 1104.0973842891.

The spelling of 1345928976 in words is "one billion, three hundred forty-five million, nine hundred twenty-eight thousand, nine hundred seventy-six".