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6000001344 = 26333472223
BaseRepresentation
bin1011001011010000…
…01100000101000000
3120111011001122112000
411211220030011000
544242000020334
62431212504000
7301454112201
oct54550140500
916434048460
106000001344
1125a99318a7
1211b547b000
1374809956c
1440cc0d5a8
15251b38299
hex165a0c140

6000001344 has 56 divisors (see below), whose sum is σ = 17638897920. Its totient is φ = 1999999872.

The previous prime is 6000001339. The next prime is 6000001349. The reversal of 6000001344 is 4431000006.

It is an interprime number because it is at equal distance from previous prime (6000001339) and next prime (6000001349).

It is a super-2 number, since 2×60000013442 = 72000032256003612672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000001349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1734384 + ... + 1737839.

It is an arithmetic number, because the mean of its divisors is an integer number (314980320).

Almost surely, 26000001344 is an apocalyptic number.

6000001344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6000001344 is an abundant number, since it is smaller than the sum of its proper divisors (11638896576).

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

6000001344 is a wasteful number, since it uses less digits than its factorization.

6000001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472244 (or 3472228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6000001344 is about 77459.6755996305. The cubic root of 6000001344 is about 1817.1207285105.

The spelling of 6000001344 in words is "six billion, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3472223 6944446 10416669 13888892 20833338 27777784 31250007 41666676 55555568 62500014 83333352 93750021 111111136 125000028 166666704 187500042 222222272 250000056 333333408 375000084 500000112 666666816 750000168 1000000224 1500000336 2000000448 3000000672 6000001344