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345424220 = 225293891531
BaseRepresentation
bin10100100101101…
…100000101011100
3220001222100221122
4110211230011130
51201412033340
654135350112
711363025461
oct2445540534
9801870848
10345424220
11167a8a369
1297822338
135674353b
1433c39668
15204d2db5
hex1496c15c

345424220 has 48 divisors (see below), whose sum is σ = 752824800. Its totient is φ = 132975360.

The previous prime is 345424217. The next prime is 345424223. The reversal of 345424220 is 22424543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345424217) and next prime (345424223).

It is a self number, because there is not a number n which added to its sum of digits gives 345424220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345424223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224855 + ... + 226385.

It is an arithmetic number, because the mean of its divisors is an integer number (15683850).

Almost surely, 2345424220 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 345424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376412400).

345424220 is an abundant number, since it is smaller than the sum of its proper divisors (407400580).

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

345424220 is a wasteful number, since it uses less digits than its factorization.

345424220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1956 counting only the distinct ones).

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

The square root of 345424220 is about 18585.5917312309. The cubic root of 345424220 is about 701.6452592535.

Adding to 345424220 its reverse (22424543), we get a palindrome (367848763).

The spelling of 345424220 in words is "three hundred forty-five million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 389 580 778 1531 1556 1945 3062 3890 6124 7655 7780 11281 15310 22562 30620 44399 45124 56405 88798 112810 177596 221995 225620 443990 595559 887980 1191118 2382236 2977795 5955590 11911180 17271211 34542422 69084844 86356055 172712110 345424220