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345973403979 = 3372455174561
BaseRepresentation
bin1010000100011011001…
…11110011000101001011
31020002000110222221001000
411002031213303011023
521132023142411404
6422534334430043
733665354261160
oct5021547630513
91202013887030
10345973403979
111237a9a70145
1257075962323
13268185c7428
1412a60b98067
158eed7c8339
hex508d9f314b

345973403979 has 32 divisors (see below), whose sum is σ = 585806791680. Its totient is φ = 197688384000.

The previous prime is 345973403977. The next prime is 345973404001. The reversal of 345973403979 is 979304379543.

345973403979 is a `hidden beast` number, since 3 + 4 + 597 + 3 + 4 + 0 + 39 + 7 + 9 = 666.

It is not a de Polignac number, because 345973403979 - 21 = 345973403977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (345973403977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602859 + ... + 4677419.

It is an arithmetic number, because the mean of its divisors is an integer number (18306462240).

Almost surely, 2345973403979 is an apocalyptic number.

345973403979 is a deficient number, since it is larger than the sum of its proper divisors (239833387701).

345973403979 is a wasteful number, since it uses less digits than its factorization.

345973403979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99128 (or 99122 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 345973403979 in words is "three hundred forty-five billion, nine hundred seventy-three million, four hundred three thousand, nine hundred seventy-nine".

Divisors: 1 3 7 9 21 27 63 189 24551 73653 74561 171857 220959 223683 515571 521927 662877 671049 1546713 1565781 2013147 4640139 4697343 14092029 1830547111 5491641333 12813829777 16474923999 38441489331 49424771997 115324467993 345973403979