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345373220 = 225732291033
BaseRepresentation
bin10100100101011…
…111101000100100
3220001212202222202
4110211133220210
51201403420340
654134314032
711362424003
oct2445375044
9801782882
10345373220
11167a55015
12977b8918
135672626a
1433c24c3a
15204c2c15
hex1495fa24

345373220 has 48 divisors (see below), whose sum is σ = 739144560. Its totient is φ = 135530496.

The previous prime is 345373219. The next prime is 345373229. The reversal of 345373220 is 22373543.

It can be written as a sum of positive squares in 8 ways, for example, as 85969984 + 259403236 = 9272^2 + 16106^2 .

It is a super-2 number, since 2×3453732202 = 238565322186336800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345373229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333824 + ... + 334856.

It is an arithmetic number, because the mean of its divisors is an integer number (15398845).

Almost surely, 2345373220 is an apocalyptic number.

It is an amenable number.

345373220 is an abundant number, since it is smaller than the sum of its proper divisors (393771340).

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

345373220 is a wasteful number, since it uses less digits than its factorization.

345373220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 345373220 is about 18584.2196500149. The cubic root of 345373220 is about 701.6107261901.

The spelling of 345373220 in words is "three hundred forty-five million, three hundred seventy-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 229 292 365 458 730 916 1033 1145 1460 2066 2290 4132 4580 5165 10330 16717 20660 33434 66868 75409 83585 150818 167170 236557 301636 334340 377045 473114 754090 946228 1182785 1508180 2365570 4731140 17268661 34537322 69074644 86343305 172686610 345373220