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345066630 = 23561193977
BaseRepresentation
bin10100100100010…
…100110010000110
3220001022012102120
4110210110302012
51201314113010
654123550410
711360006106
oct2444246206
9801265376
10345066630
11167865737
129768b406
135664984c
1433b85206
1520461e70
hex14914c86

345066630 has 64 divisors (see below), whose sum is σ = 846963648. Its totient is φ = 89948160.

The previous prime is 345066613. The next prime is 345066637. The reversal of 345066630 is 36660543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345066591 and 345066600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345066637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352702 + ... + 353678.

It is an arithmetic number, because the mean of its divisors is an integer number (13233807).

Almost surely, 2345066630 is an apocalyptic number.

345066630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345066630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423481824).

345066630 is an abundant number, since it is smaller than the sum of its proper divisors (501897018).

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

345066630 is a wasteful number, since it uses less digits than its factorization.

345066630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 345066630 is about 18575.9691537212. The cubic root of 345066630 is about 701.4030566295.

It can be divided in two parts, 345066 and 630, that added together give a triangular number (345696 = T831).

The spelling of 345066630 in words is "three hundred forty-five million, sixty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 193 305 366 386 579 610 915 965 977 1158 1830 1930 1954 2895 2931 4885 5790 5862 9770 11773 14655 23546 29310 35319 58865 59597 70638 117730 119194 176595 178791 188561 297985 353190 357582 377122 565683 595970 893955 942805 1131366 1787910 1885610 2828415 5656830 11502221 23004442 34506663 57511105 69013326 115022210 172533315 345066630