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1345212016 = 243161173257
BaseRepresentation
bin101000000101110…
…0100111001110000
310110202020211222021
41100023210321300
510223333241031
6341252321224
745223053631
oct12013447160
93422224867
101345212016
11630378775
12316613214
13185907c55
14ca92d888
157d171511
hex502e4e70

1345212016 has 80 divisors (see below), whose sum is σ = 2761037568. Its totient is φ = 634060800.

The previous prime is 1345212013. The next prime is 1345212019. The reversal of 1345212016 is 6102125431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1345212013) and next prime (1345212019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345212013) 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, 5234160 + ... + 5234416.

Almost surely, 21345212016 is an apocalyptic number.

1345212016 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 1345212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380518784).

1345212016 is an abundant number, since it is smaller than the sum of its proper divisors (1415825552).

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

1345212016 is a wasteful number, since it uses less digits than its factorization.

1345212016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1345212016 is about 36677.1320580004. The cubic root of 1345212016 is about 1103.9013030511.

Adding to 1345212016 its reverse (6102125431), we get a palindrome (7447337447).

The spelling of 1345212016 in words is "one billion, three hundred forty-five million, two hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 31 61 62 122 124 173 244 248 257 346 488 496 514 692 976 1028 1384 1891 2056 2768 3782 4112 5363 7564 7967 10553 10726 15128 15677 15934 21106 21452 30256 31354 31868 42212 42904 44461 62708 63736 84424 85808 88922 125416 127472 168848 177844 250832 327143 355688 485987 654286 711376 971974 1308572 1378291 1943948 2617144 2712121 2756582 3887896 5234288 5424242 5513164 7775792 10848484 11026328 21696968 22052656 43393936 84075751 168151502 336303004 672606008 1345212016