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345422500 = 2254233593
BaseRepresentation
bin10100100101101…
…011101010100100
3220001222021120221
4110211223222210
51201412010000
654135334124
711363020453
oct2445535244
9801867527
10345422500
11167a89045
1297821344
1356742817
1433c38b9a
15204d261a
hex1496baa4

345422500 has 60 divisors (see below), whose sum is σ = 759891132. Its totient is φ = 137344000.

The previous prime is 345422477. The next prime is 345422557. The reversal of 345422500 is 5224543.

It can be written as a sum of positive squares in 10 ways, for example, as 292888996 + 52533504 = 17114^2 + 7248^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 582204 + ... + 582796.

Almost surely, 2345422500 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 345422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379945566).

345422500 is an abundant number, since it is smaller than the sum of its proper divisors (414468632).

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

345422500 is a wasteful number, since it uses less digits than its factorization.

345422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 345422500 is about 18585.5454587698. The cubic root of 345422500 is about 701.6440946644.

The spelling of 345422500 in words is "three hundred forty-five million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 233 250 466 500 593 625 932 1165 1186 1250 2330 2372 2500 2965 4660 5825 5930 11650 11860 14825 23300 29125 29650 58250 59300 74125 116500 138169 145625 148250 276338 291250 296500 370625 552676 582500 690845 741250 1381690 1482500 2763380 3454225 6908450 13816900 17271125 34542250 69084500 86355625 172711250 345422500