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1345555300 = 225219237273
BaseRepresentation
bin101000000110011…
…1000101101100100
310110202220021212111
41100030320231210
510223430232200
6341303530404
745226013515
oct12014705544
93422807774
101345555300
11630592681
12316759a04
131859c828b
14ca9bca0c
157d1dd0ba
hex50338b64

1345555300 has 54 divisors (see below), whose sum is σ = 3081702498. Its totient is φ = 509880960.

The previous prime is 1345555273. The next prime is 1345555349. The reversal of 1345555300 is 35555431.

It can be written as a sum of positive squares in 3 ways, for example, as 196616484 + 1148938816 = 14022^2 + 33896^2 .

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 17 ways as a sum of consecutive naturals, for example, 17464 + ... + 54736.

Almost surely, 21345555300 is an apocalyptic number.

1345555300 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 1345555300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540851249).

1345555300 is an abundant number, since it is smaller than the sum of its proper divisors (1736147198).

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

1345555300 is a wasteful number, since it uses less digits than its factorization.

1345555300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37325 (or 37299 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The square root of 1345555300 is about 36681.8115692232. The cubic root of 1345555300 is about 1103.9951964102.

The spelling of 1345555300 in words is "one billion, three hundred forty-five million, five hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 9025 18050 36100 37273 74546 149092 186365 372730 708187 745460 931825 1416374 1863650 2832748 3540935 3727300 7081870 13455553 14163740 17704675 26911106 35409350 53822212 67277765 70818700 134555530 269111060 336388825 672777650 1345555300