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1345555000 = 2354318681
BaseRepresentation
bin101000000110011…
…1000101000111000
310110202220021110101
41100030320220320
510223430230000
6341303525144
745226012606
oct12014705070
93422807411
101345555000
11630592429
123167597b4
131859c80ba
14ca9bc876
157d1dce6a
hex50338a38

1345555000 has 80 divisors (see below), whose sum is σ = 3254708160. Its totient is φ = 520800000.

The previous prime is 1345554989. The next prime is 1345555033. The reversal of 1345555000 is 5555431.

It is a self number, because there is not a number n which added to its sum of digits gives 1345555000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150660 + ... + 159340.

It is an arithmetic number, because the mean of its divisors is an integer number (40683852).

Almost surely, 21345555000 is an apocalyptic number.

1345555000 is a gapful number since it is divisible by the number (10) 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 1345555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627354080).

1345555000 is an abundant number, since it is smaller than the sum of its proper divisors (1909153160).

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

1345555000 is an equidigital number, since it uses as much as digits as its factorization.

1345555000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 1345555000 is about 36681.8074800029. The cubic root of 1345555000 is about 1103.9951143626.

The spelling of 1345555000 in words is "one billion, three hundred forty-five million, five hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 625 775 1000 1240 1250 1550 2500 3100 3875 5000 6200 7750 8681 15500 17362 19375 31000 34724 38750 43405 69448 77500 86810 155000 173620 217025 269111 347240 434050 538222 868100 1076444 1085125 1345555 1736200 2152888 2170250 2691110 4340500 5382220 5425625 6727775 8681000 10764440 10851250 13455550 21702500 26911100 33638875 43405000 53822200 67277750 134555500 168194375 269111000 336388750 672777500 1345555000