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340579890 = 2345728581
BaseRepresentation
bin10100010011001…
…101011000110010
3212201212020210000
4110103031120302
51144142024030
653443450430
711303611200
oct2423153062
9781766700
10340579890
11165280792
1296086a16
1355738581
1433338070
151ed77860
hex144cd632

340579890 has 120 divisors (see below), whose sum is σ = 1065420972. Its totient is φ = 77837760.

The previous prime is 340579873. The next prime is 340579891. The reversal of 340579890 is 98975043.

It can be written as a sum of positive squares in 2 ways, for example, as 274531761 + 66048129 = 16569^2 + 8127^2 .

It is a super-2 number, since 2×3405798902 = 231989322944824200, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (340579891) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 35400 + ... + 43980.

Almost surely, 2340579890 is an apocalyptic number.

340579890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340579890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532710486).

340579890 is an abundant number, since it is smaller than the sum of its proper divisors (724841082).

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

340579890 is a wasteful number, since it uses less digits than its factorization.

340579890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 340579890 is about 18454.8066909410. The cubic root of 340579890 is about 698.3497793980.

The spelling of 340579890 in words is "three hundred forty million, five hundred seventy-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 8581 13230 17162 19845 25743 39690 42905 51486 60067 77229 85810 120134 128715 154458 180201 231687 257430 300335 360402 386145 420469 463374 540603 600670 695061 772290 840938 901005 1081206 1158435 1261407 1390122 1621809 1802010 2102345 2316870 2522814 2703015 3243618 3475305 3784221 4204690 4865427 5406030 6307035 6950610 7568442 8109045 9730854 11352663 12614070 16218090 18921105 22705326 24327135 34057989 37842210 48654270 56763315 68115978 113526630 170289945 340579890