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345355302452200 = 23522901759509133
BaseRepresentation
bin100111010000110010100110…
…0000111111011101111101000
31200021210122101211020101221021
41032201211030013323233220
5330231300124411432300
63222302011413422224
7132513045225363445
oct11641451407735750
91607718354211837
10345355302452200
11a004a3a79271a7
123289820803a974
1311a91b33039a21
14613d40043c9cc
1529dd73d59cd1a
hex13a194c1fbbe8

345355302452200 has 48 divisors (see below), whose sum is σ = 802978763441580. Its totient is φ = 138137357928960.

The previous prime is 345355302452183. The next prime is 345355302452213. The reversal of 345355302452200 is 2254203553543.

It can be written as a sum of positive squares in 6 ways, for example, as 39770151224164 + 305585151228036 = 6306358^2 + 17480994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23951167 + ... + 35557966.

Almost surely, 2345355302452200 is an apocalyptic number.

It is an amenable number.

345355302452200 is an abundant number, since it is smaller than the sum of its proper divisors (457623460989380).

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

345355302452200 is a wasteful number, since it uses less digits than its factorization.

345355302452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59538166 (or 59538157 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 43.

The spelling of 345355302452200 in words is "three hundred forty-five trillion, three hundred fifty-five billion, three hundred two million, four hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 29017 58034 116068 145085 232136 290170 580340 725425 1160680 1450850 2901700 5803400 59509133 119018266 238036532 297545665 476073064 595091330 1190182660 1487728325 2380365320 2975456650 5950913300 11901826600 1726776512261 3453553024522 6907106049044 8633882561305 13814212098088 17267765122610 34535530245220 43169412806525 69071060490440 86338825613050 172677651226100 345355302452200