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628343205 = 357171997191
BaseRepresentation
bin100101011100111…
…100000110100101
31121210100010211120
4211130330012211
52241323440310
6142203324153
721366554250
oct4534740645
91553303746
10628343205
112a2757606
12156520659
13a0240719
145d644097
153a26ab70
hex2573c1a5

628343205 has 128 divisors (see below), whose sum is σ = 1300561920. Its totient is φ = 252149760.

The previous prime is 628343201. The next prime is 628343207. The reversal of 628343205 is 502343826.

It is a happy number.

628343205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 628343205 - 22 = 628343201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628343201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3289660 + ... + 3289850.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2628343205 is an apocalyptic number.

It is an amenable number.

628343205 is an abundant number, since it is smaller than the sum of its proper divisors (672218715).

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

628343205 is a wasteful number, since it uses less digits than its factorization.

628343205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 628343205 is about 25066.7749221953. The cubic root of 628343205 is about 856.5097432105.

The spelling of 628343205 in words is "six hundred twenty-eight million, three hundred forty-three thousand, two hundred five".

Divisors: 1 3 5 7 15 17 19 21 35 51 57 85 95 97 105 119 133 191 255 285 291 323 357 399 485 573 595 665 679 955 969 1337 1455 1615 1649 1785 1843 1995 2037 2261 2865 3247 3395 3629 4011 4845 4947 5529 6685 6783 8245 9215 9741 10185 10887 11305 11543 12901 16235 18145 18527 20055 22729 24735 25403 27645 31331 33915 34629 38703 48705 54435 55581 57715 61693 64505 68187 76209 92635 93993 113645 127015 129689 156655 173145 185079 193515 219317 277905 308465 314959 340935 352013 381045 389067 431851 469965 648445 657951 925395 944877 1056039 1096585 1295553 1574795 1760065 1945335 2159255 2204713 2464091 3289755 4724385 5280195 5984221 6477765 6614139 7392273 11023565 12320455 17952663 29921105 33070695 36961365 41889547 89763315 125668641 209447735 628343205