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6001344 = 263323151
BaseRepresentation
bin10110111001001011000000
3102021220022000
4112321023000
53014020334
6332344000
7102003426
oct26711300
912256260
106001344
113429998
122015000
1313217bb
14b23116
157d8299
hex5b92c0

6001344 has 112 divisors (see below), whose sum is σ = 18531840. Its totient is φ = 1900800.

The previous prime is 6001343. The next prime is 6001351. The reversal of 6001344 is 4431006.

It is a super-2 number, since 2×60013442 = 72032259612672, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6001343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39669 + ... + 39819.

Almost surely, 26001344 is an apocalyptic number.

6001344 is a gapful number since it is divisible by the number (64) 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 6001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9265920).

6001344 is an abundant number, since it is smaller than the sum of its proper divisors (12530496).

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

6001344 is a wasteful number, since it uses less digits than its factorization.

6001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

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

The square root of 6001344 is about 2449.7640702729. The cubic root of 6001344 is about 181.7256261040.

The spelling of 6001344 in words is "six million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 151 184 192 207 216 276 288 302 368 414 432 453 552 576 604 621 736 828 864 906 1104 1208 1242 1359 1472 1656 1728 1812 2208 2416 2484 2718 3312 3473 3624 4077 4416 4832 4968 5436 6624 6946 7248 8154 9664 9936 10419 10872 13248 13892 14496 16308 19872 20838 21744 27784 28992 31257 32616 39744 41676 43488 55568 62514 65232 83352 86976 93771 111136 125028 130464 166704 187542 222272 250056 260928 333408 375084 500112 666816 750168 1000224 1500336 2000448 3000672 6001344