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646045344 = 253272313933
BaseRepresentation
bin100110100000011…
…101111010100000
31200000122111121100
4212200131322200
52310341422334
6144034554400
722003203060
oct4640357240
91600574540
10646045344
1130174847a
12160438a00
13a3acac69
1461b313a0
153bab5c99
hex2681dea0

646045344 has 144 divisors (see below), whose sum is σ = 2191093632. Its totient is φ = 176546304.

The previous prime is 646045313. The next prime is 646045381. The reversal of 646045344 is 443540646.

646045344 is a `hidden beast` number, since 6 + 4 + 604 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 646045299 and 646045308.

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 23 ways as a sum of consecutive naturals, for example, 39402 + ... + 53334.

It is an arithmetic number, because the mean of its divisors is an integer number (15215928).

Almost surely, 2646045344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095546816).

646045344 is an abundant number, since it is smaller than the sum of its proper divisors (1545048288).

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

646045344 is a wasteful number, since it uses less digits than its factorization.

646045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 646045344 is about 25417.4220565344. The cubic root of 646045344 is about 864.4787727121.

The spelling of 646045344 in words is "six hundred forty-six million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 13933 15456 23184 27866 41799 46368 55732 83598 97531 111464 125397 167196 195062 222928 250794 292593 320459 334392 390124 445856 501588 585186 640918 668784 780248 877779 961377 1003176 1170372 1281836 1337568 1560496 1755558 1922754 2006352 2243213 2340744 2563672 2884131 3120992 3511116 3845508 4012704 4486426 4681488 5127344 5768262 6729639 7022232 7691016 8972852 9362976 10254688 11536524 13459278 14044464 15382032 17945704 20188917 23073048 26918556 28088928 30764064 35891408 40377834 46146096 53837112 71782816 80755668 92292192 107674224 161511336 215348448 323022672 646045344