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340206440 = 235771109157
BaseRepresentation
bin10100010001110…
…010001101101000
3212201011021111112
4110101302031220
51144043101230
653431445452
711300464340
oct2421621550
9781137445
10340206440
11165046152
1295b26888
13556375b2
143327bd20
151ed01d95
hex14472368

340206440 has 128 divisors (see below), whose sum is σ = 900979200. Its totient is φ = 113218560.

The previous prime is 340206439. The next prime is 340206443. The reversal of 340206440 is 44602043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (340206443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166842 + ... + 2166998.

It is an arithmetic number, because the mean of its divisors is an integer number (7038900).

Almost surely, 2340206440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450489600).

340206440 is an abundant number, since it is smaller than the sum of its proper divisors (560772760).

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

340206440 is a wasteful number, since it uses less digits than its factorization.

340206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 340206440 is about 18444.6859555808. The cubic root of 340206440 is about 698.0944363650.

Adding to 340206440 its reverse (44602043), we get a palindrome (384808483).

The spelling of 340206440 in words is "three hundred forty million, two hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 109 140 142 157 218 280 284 314 355 436 497 545 568 628 710 763 785 872 994 1090 1099 1256 1420 1526 1570 1988 2180 2198 2485 2840 3052 3140 3815 3976 4360 4396 4970 5495 6104 6280 7630 7739 8792 9940 10990 11147 15260 15478 17113 19880 21980 22294 30520 30956 34226 38695 43960 44588 54173 55735 61912 68452 77390 78029 85565 89176 108346 111470 119791 136904 154780 156058 171130 216692 222940 239582 270865 309560 312116 342260 390145 433384 445880 479164 541730 598955 624232 684520 780290 958328 1083460 1197910 1215023 1560580 2166920 2395820 2430046 3121160 4791640 4860092 6075115 8505161 9720184 12150230 17010322 24300460 34020644 42525805 48600920 68041288 85051610 170103220 340206440