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345111630 = 235195571087
BaseRepresentation
bin10100100100011…
…111110001001110
3220001101111011020
4110210133301032
51201322033010
654124535010
711360254233
oct2444376116
9801344136
10345111630
11167896526
12976b1466
1356664186
1433b9778a
1520470470
hex1491fc4e

345111630 has 64 divisors (see below), whose sum is σ = 874229760. Its totient is φ = 86949504.

The previous prime is 345111601. The next prime is 345111643. The reversal of 345111630 is 36111543.

It is a super-2 number, since 2×3451116302 = 238204074322513800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345111630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316947 + ... + 318033.

It is an arithmetic number, because the mean of its divisors is an integer number (13659840).

Almost surely, 2345111630 is an apocalyptic number.

345111630 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 345111630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

345111630 is an abundant number, since it is smaller than the sum of its proper divisors (529118130).

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

345111630 is a wasteful number, since it uses less digits than its factorization.

345111630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 345111630 is about 18577.1803565557. The cubic root of 345111630 is about 701.4335452008.

The spelling of 345111630 in words is "three hundred forty-five million, one hundred eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 557 570 1087 1114 1671 2174 2785 3261 3342 5435 5570 6522 8355 10583 10870 16305 16710 20653 21166 31749 32610 41306 52915 61959 63498 103265 105830 123918 158745 206530 309795 317490 605459 619590 1210918 1816377 3027295 3632754 6054590 9081885 11503721 18163770 23007442 34511163 57518605 69022326 115037210 172555815 345111630