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1348001568 = 25331560187
BaseRepresentation
bin101000001011000…
…1101111100100000
310110221111120112000
41100112031330200
510230042022233
6341432204000
745255552504
oct12026157440
93427446460
101348001568
11631a03591
12317539600
13186373884
14cb058304
157d522d13
hex5058df20

1348001568 has 48 divisors (see below), whose sum is σ = 3931673760. Its totient is φ = 449333568.

The previous prime is 1348001537. The next prime is 1348001579. The reversal of 1348001568 is 8651008431.

1348001568 is a `hidden beast` number, since 13 + 4 + 80 + 0 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×13480015683 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 779230 + ... + 780957.

It is an arithmetic number, because the mean of its divisors is an integer number (81909870).

Almost surely, 21348001568 is an apocalyptic number.

1348001568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1348001568 is an abundant number, since it is smaller than the sum of its proper divisors (2583672192).

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

1348001568 is a wasteful number, since it uses less digits than its factorization.

1348001568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560206 (or 1560192 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1348001568 is about 36715.1408549661. The cubic root of 1348001568 is about 1104.6638257200.

Adding to 1348001568 its reverse (8651008431), we get a palindrome (9999009999).

The spelling of 1348001568 in words is "one billion, three hundred forty-eight million, one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1560187 3120374 4680561 6240748 9361122 12481496 14041683 18722244 24962992 28083366 37444488 42125049 49925984 56166732 74888976 84250098 112333464 149777952 168500196 224666928 337000392 449333856 674000784 1348001568