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340356870 = 233571011783
BaseRepresentation
bin10100010010010…
…110111100000110
3212201102220212000
4110102112330012
51144112404440
653435010130
711301662040
oct2422267406
9781386760
10340356870
11165139177
1295b99946
135568abc9
14332baa90
151ed31730
hex14496f06

340356870 has 128 divisors (see below), whose sum is σ = 1048135680. Its totient is φ = 76982400.

The previous prime is 340356859. The next prime is 340356871. The reversal of 340356870 is 78653043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340356871) 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 63 ways as a sum of consecutive naturals, for example, 189999 + ... + 191781.

It is an arithmetic number, because the mean of its divisors is an integer number (8188560).

Almost surely, 2340356870 is an apocalyptic number.

340356870 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 340356870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524067840).

340356870 is an abundant number, since it is smaller than the sum of its proper divisors (707778810).

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

340356870 is a wasteful number, since it uses less digits than its factorization.

340356870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 340356870 is about 18448.7633731912. The cubic root of 340356870 is about 698.1973139705.

The spelling of 340356870 in words is "three hundred forty million, three hundred fifty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 101 105 126 135 189 202 210 270 303 315 378 505 606 630 707 909 945 1010 1414 1515 1783 1818 1890 2121 2727 3030 3535 3566 4242 4545 5349 5454 6363 7070 8915 9090 10605 10698 12481 12726 13635 16047 17830 19089 21210 24962 26745 27270 31815 32094 37443 38178 48141 53490 62405 63630 74886 80235 95445 96282 112329 124810 160470 180083 187215 190890 224658 240705 336987 360166 374430 481410 540249 561645 673974 900415 1080498 1123290 1260581 1620747 1684935 1800830 2521162 2701245 3241494 3369870 3781743 4862241 5402490 6302905 7563486 8103735 9724482 11345229 12605810 16207470 18908715 22690458 24311205 34035687 37817430 48622410 56726145 68071374 113452290 170178435 340356870