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345927780 = 223351158237
BaseRepresentation
bin10100100111100…
…111000001100100
3220002220221201000
4110213213001210
51202024142110
654154233300
711400223542
oct2447470144
9802827630
10345927780
111682a3730
1297a25830
135688b7c3
1433d2ad92
15205821c0
hex149e7064

345927780 has 96 divisors (see below), whose sum is σ = 1174078080. Its totient is φ = 83859840.

The previous prime is 345927779. The next prime is 345927809. The reversal of 345927780 is 87729543.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23179 + ... + 35058.

It is an arithmetic number, because the mean of its divisors is an integer number (12229980).

Almost surely, 2345927780 is an apocalyptic number.

345927780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345927780 is an abundant number, since it is smaller than the sum of its proper divisors (828150300).

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

345927780 is a wasteful number, since it uses less digits than its factorization.

345927780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58266 (or 58258 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 345927780 is about 18599.1338508007. The cubic root of 345927780 is about 701.9860469138.

The spelling of 345927780 in words is "three hundred forty-five million, nine hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 58237 116474 174711 232948 291185 349422 524133 582370 640607 698844 873555 1048266 1164740 1281214 1572399 1747110 1921821 2096532 2562428 2620665 3144798 3203035 3494220 3843642 5241330 5765463 6289596 6406070 7687284 7861995 9609105 10482660 11530926 12812140 15723990 17296389 19218210 23061852 28827315 31447980 34592778 38436420 57654630 69185556 86481945 115309260 172963890 345927780