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1344000560 = 24572400001
BaseRepresentation
bin101000000011011…
…1101001000110000
310110122222022011112
41100012331020300
510223031004220
6341210332452
745206546660
oct12006751060
93418868145
101344000560
1162a720571
1231612a128
131855a2706
14ca6d61a0
157ced25c5
hex501bd230

1344000560 has 40 divisors (see below), whose sum is σ = 3571202976. Its totient is φ = 460800000.

The previous prime is 1344000533. The next prime is 1344000577. The reversal of 1344000560 is 650004431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×13440005603 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199441 + ... + 1200560.

Almost surely, 21344000560 is an apocalyptic number.

1344000560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344000560 is an abundant number, since it is smaller than the sum of its proper divisors (2227202416).

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

1344000560 is a wasteful number, since it uses less digits than its factorization.

1344000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400021 (or 2400015 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1344000560 is about 36660.6131972721. The cubic root of 1344000560 is about 1103.5698238260.

Adding to 1344000560 its reverse (650004431), we get a palindrome (1994004991).

The spelling of 1344000560 in words is "one billion, three hundred forty-four million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2400001 4800002 9600004 12000005 16800007 19200008 24000010 33600014 38400016 48000020 67200028 84000035 96000040 134400056 168000070 192000080 268800112 336000140 672000280 1344000560