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345221104 = 24296591129
BaseRepresentation
bin10100100100111…
…010011111110000
3220001121001022211
4110210322133300
51201334033404
654131141504
711361221344
oct2444723760
9801531284
10345221104
111679607a8
1297744894
13566a1c57
1433bc5624
1520492b04
hex1493a7f0

345221104 has 40 divisors (see below), whose sum is σ = 693594000. Its totient is φ = 166258176.

The previous prime is 345221081. The next prime is 345221113. The reversal of 345221104 is 401122543.

345221104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3452211042 = 238355221293957632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305212 + ... + 306340.

It is an arithmetic number, because the mean of its divisors is an integer number (17339850).

Almost surely, 2345221104 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 345221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346797000).

345221104 is an abundant number, since it is smaller than the sum of its proper divisors (348372896).

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

345221104 is a wasteful number, since it uses less digits than its factorization.

345221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 345221104 is about 18580.1265872975. The cubic root of 345221104 is about 701.5077053770.

Adding to 345221104 its reverse (401122543), we get a palindrome (746343647).

The spelling of 345221104 in words is "three hundred forty-five million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 659 1129 1318 2258 2636 4516 5272 9032 10544 18064 19111 32741 38222 65482 76444 130964 152888 261928 305776 523856 744011 1488022 2976044 5952088 11904176 21576319 43152638 86305276 172610552 345221104