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645064320 = 27351719763
BaseRepresentation
bin100110011100101…
…110011010000000
31122221210122220010
4212130232122000
52310114024240
6144001544520
721661645665
oct4634563200
91587718803
10645064320
1130113840a
12160045140
13a3846584
1461957a6c
153b970280
hex2672e680

645064320 has 128 divisors (see below), whose sum is σ = 2177202240. Its totient is φ = 161890304.

The previous prime is 645064283. The next prime is 645064333. The reversal of 645064320 is 23460546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6450643202 = 832215953874124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 22759 + ... + 42521.

Almost surely, 2645064320 is an apocalyptic number.

645064320 is a gapful number since it is divisible by the number (60) 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 645064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088601120).

645064320 is an abundant number, since it is smaller than the sum of its proper divisors (1532137920).

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

645064320 is a wasteful number, since it uses less digits than its factorization.

645064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19802 (or 19790 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 645064320 is about 25398.1164655964. The cubic root of 645064320 is about 864.0409788520.

The spelling of 645064320 in words is "six hundred forty-five million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 19763 32640 39526 59289 79052 98815 118578 158104 197630 237156 296445 316208 335971 395260 474312 592890 632416 671942 790520 948624 1007913 1185780 1264832 1343884 1581040 1679855 1897248 2015826 2371560 2529664 2687768 3162080 3359710 3794496 4031652 4743120 5039565 5375536 6324160 6719420 7588992 8063304 9486240 10079130 10751072 12648320 13438840 16126608 18972480 20158260 21502144 26877680 32253216 37944960 40316520 43004288 53755360 64506432 80633040 107510720 129012864 161266080 215021440 322532160 645064320