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1344000120 = 233511200001
BaseRepresentation
bin101000000011011…
…1101000001111000
310110122222021120020
41100012331001320
510223031000440
6341210330440
745206545461
oct12006750170
93418867506
101344000120
1162a720201
12316129a20
131855a2458
14ca6d5d68
157ced23d0
hex501bd078

1344000120 has 32 divisors (see below), whose sum is σ = 4032000720. Its totient is φ = 358400000.

The previous prime is 1344000107. The next prime is 1344000121. The reversal of 1344000120 is 210004431.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1344000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344000121) 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 7 ways as a sum of consecutive naturals, for example, 5599881 + ... + 5600120.

Almost surely, 21344000120 is an apocalyptic number.

1344000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344000120 is an abundant number, since it is smaller than the sum of its proper divisors (2688000600).

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

1344000120 is a wasteful number, since it uses less digits than its factorization.

1344000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200015 (or 11200011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1344000120 is about 36660.6071962809. The cubic root of 1344000120 is about 1103.5697033968.

Adding to 1344000120 its reverse (210004431), we get a palindrome (1554004551).

The spelling of 1344000120 in words is "one billion, three hundred forty-four million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 11200001 22400002 33600003 44800004 56000005 67200006 89600008 112000010 134400012 168000015 224000020 268800024 336000030 448000040 672000060 1344000120