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345442220 = 225414397101
BaseRepresentation
bin10100100101110…
…000011110101100
3220002000021122022
4110211300132230
51201413122340
654140005312
711363132114
oct2445603654
9802007568
10345442220
11167aa1942
1297830838
135674b7a6
1433c42044
15204d83b5
hex149707ac

345442220 has 96 divisors (see below), whose sum is σ = 775849536. Its totient is φ = 129024000.

The previous prime is 345442199. The next prime is 345442241. The reversal of 345442220 is 22244543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345442199) and next prime (345442241).

It is a self number, because there is not a number n which added to its sum of digits gives 345442220.

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, 3420170 + ... + 3420270.

It is an arithmetic number, because the mean of its divisors is an integer number (8081766).

Almost surely, 2345442220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387924768).

345442220 is an abundant number, since it is smaller than the sum of its proper divisors (430407316).

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

345442220 is a wasteful number, since it uses less digits than its factorization.

345442220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 345442220 is about 18586.0759710058. The cubic root of 345442220 is about 701.6574465820.

Adding to 345442220 its reverse (22244543), we get a palindrome (367686763).

The spelling of 345442220 in words is "three hundred forty-five million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 97 101 164 172 194 202 205 215 388 404 410 430 485 505 820 860 970 1010 1763 1940 2020 3526 3977 4141 4171 4343 7052 7954 8282 8342 8686 8815 9797 15908 16564 16684 17372 17630 19594 19885 20705 20855 21715 35260 39188 39770 41410 41710 43430 48985 79540 82820 83420 86860 97970 171011 178063 195940 342022 356126 401677 421271 684044 712252 803354 842542 855055 890315 1606708 1685084 1710110 1780630 2008385 2106355 3420220 3561260 4016770 4212710 8033540 8425420 17272111 34544222 69088444 86360555 172721110 345442220