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340077738 = 237211138089
BaseRepresentation
bin10100010001010…
…010110010101010
3212200220201221210
4110101102302222
51144024441423
653425013550
711266420200
oct2421226252
9780821853
10340077738
11164a68490
1295a842b6
13555c0b40
1433247070
151ecc8b93
hex14452caa

340077738 has 96 divisors (see below), whose sum is σ = 929638080. Its totient is φ = 81527040.

The previous prime is 340077677. The next prime is 340077757. The reversal of 340077738 is 837770043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 340077696 and 340077705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37998 + ... + 46086.

It is an arithmetic number, because the mean of its divisors is an integer number (9683730).

Almost surely, 2340077738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340077738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464819040).

340077738 is an abundant number, since it is smaller than the sum of its proper divisors (589560342).

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

340077738 is a wasteful number, since it uses less digits than its factorization.

340077738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 340077738 is about 18441.1967615987. The cubic root of 340077738 is about 698.0063942513.

The spelling of 340077738 in words is "three hundred forty million, seventy-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 429 462 539 546 637 858 1001 1078 1274 1617 1911 2002 3003 3234 3822 6006 7007 8089 14014 16178 21021 24267 42042 48534 56623 88979 105157 113246 169869 177958 210314 266937 315471 339738 396361 533874 622853 630942 736099 792722 1156727 1189083 1245706 1472198 1868559 2208297 2313454 2378166 3470181 3737118 4359971 4416594 5152693 6940362 8097089 8719942 10305386 13079913 15458079 16194178 24291267 26159826 30916158 48582534 56679623 113359246 170038869 340077738