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345010030827 = 371143181191899
BaseRepresentation
bin1010000010101000011…
…00110100100011101011
31012222112100020111111220
411001110030310203223
521123040031441302
6422255002153123
733632445606120
oct5012414644353
91188470214456
10345010030827
11123355193690
1256a471b27a3
13266c3b42647
14129acc62747
158e93e2e4bc
hex50543348eb

345010030827 has 64 divisors (see below), whose sum is σ = 590106316800. Its totient is φ = 174089865600.

The previous prime is 345010030817. The next prime is 345010030831. The reversal of 345010030827 is 728030010543.

It is not a de Polignac number, because 345010030827 - 210 = 345010029803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (345010030817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1701924 + ... + 1893822.

It is an arithmetic number, because the mean of its divisors is an integer number (9220411200).

Almost surely, 2345010030827 is an apocalyptic number.

345010030827 is a deficient number, since it is larger than the sum of its proper divisors (245096285973).

345010030827 is a wasteful number, since it uses less digits than its factorization.

345010030827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192144.

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 345010030827 in words is "three hundred forty-five billion, ten million, thirty thousand, eight hundred twenty-seven".

Divisors: 1 3 7 11 21 33 43 77 129 181 231 301 473 543 903 1267 1419 1991 3311 3801 5973 7783 9933 13937 23349 41811 54481 85613 163443 191899 256839 575697 599291 1343293 1797873 2110889 4029879 6332667 8251657 14776223 24754971 34733719 44328669 57761599 90768227 104201157 173284797 243136033 272304681 382070909 635377589 729408099 1146212727 1493549917 1906132767 2674496363 4480649751 8023489089 10454849419 16429049087 31364548257 49287147261 115003343609 345010030827