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345182380160 = 275544998981
BaseRepresentation
bin1010000010111100111…
…10010010000010000000
31012222222100112202100112
411001132132102002000
521123413142131120
6422324040210452
733636640551242
oct5013636220200
91188870482315
10345182380160
11123433500252
1256a94a69a28
13267207680b7
14129c7ac8092
158ea4125bc5
hex505e792080

345182380160 has 64 divisors (see below), whose sum is σ = 825361407000. Its totient is φ = 138046218240.

The previous prime is 345182380139. The next prime is 345182380187. The reversal of 345182380160 is 61083281543.

It can be written as a sum of positive squares in 4 ways, for example, as 115986562624 + 229195817536 = 340568^2 + 478744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3437870 + ... + 3536850.

Almost surely, 2345182380160 is an apocalyptic number.

It is an amenable number.

345182380160 is an abundant number, since it is smaller than the sum of its proper divisors (480179026840).

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

345182380160 is an equidigital number, since it uses as much as digits as its factorization.

345182380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104449 (or 104437 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 345182380160 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5449 10898 21796 27245 43592 54490 87184 98981 108980 174368 197962 217960 348736 395924 435920 494905 697472 791848 871840 989810 1583696 1743680 1979620 3167392 3487360 3959240 6334784 7918480 12669568 15836960 31673920 63347840 539347469 1078694938 2157389876 2696737345 4314779752 5393474690 8629559504 10786949380 17259119008 21573898760 34518238016 43147797520 69036476032 86295595040 172591190080 345182380160