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339628040 = 235171997271
BaseRepresentation
bin10100001111100…
…101000000001000
3212200001220002022
4110033211000020
51143421044130
653411224012
711262535133
oct2417450010
9780056068
10339628040
11164790634
12958a8008
135549424b
143316b21a
151ec3a7e5
hex143e5008

339628040 has 128 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 119439360.

The previous prime is 339628027. The next prime is 339628043. The reversal of 339628040 is 40826933.

It is a happy number.

It is a Cunningham number, because it is equal to 184292-1.

It is not an unprimeable number, because it can be changed into a prime (339628043) 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, 1253105 + ... + 1253375.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2339628040 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 339628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

339628040 is an abundant number, since it is smaller than the sum of its proper divisors (524026360).

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

339628040 is a wasteful number, since it uses less digits than its factorization.

339628040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 339628040 is about 18428.9999728688. Note that the first 4 decimals coincide. The cubic root of 339628040 is about 697.6985915507.

The spelling of 339628040 in words is "three hundred thirty-nine million, six hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 97 136 152 170 190 194 271 323 340 380 388 485 542 646 680 760 776 970 1084 1292 1355 1615 1649 1843 1940 2168 2584 2710 3230 3298 3686 3880 4607 5149 5420 6460 6596 7372 8245 9214 9215 10298 10840 12920 13192 14744 16490 18428 18430 20596 23035 25745 26287 31331 32980 36856 36860 41192 46070 51490 52574 62662 65960 73720 87533 92140 102980 105148 125324 131435 156655 175066 184280 205960 210296 250648 262870 313310 350132 437665 446879 499453 525740 626620 700264 875330 893758 998906 1051480 1253240 1750660 1787516 1997812 2234395 2497265 3501320 3575032 3995624 4468790 4994530 8490701 8937580 9989060 16981402 17875160 19978120 33962804 42453505 67925608 84907010 169814020 339628040