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340404040 = 23559971487
BaseRepresentation
bin10100010010100…
…010011101001000
3212201112022120001
4110102202131020
51144120412130
653440012344
711302246414
oct2422423510
9781468501
10340404040
11165170659
12960010b4
13556a6512
14332cdd44
151ed406ca
hex144a2748

340404040 has 64 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 132384768.

The previous prime is 340404011. The next prime is 340404047. The reversal of 340404040 is 40404043.

It is a junction number, because it is equal to n+sod(n) for n = 340403999 and 340404017.

It is not an unprimeable number, because it can be changed into a prime (340404047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228177 + ... + 229663.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2340404040 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 340404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

340404040 is an abundant number, since it is smaller than the sum of its proper divisors (447045560).

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

340404040 is a wasteful number, since it uses less digits than its factorization.

340404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 340404040 is about 18450.0417343701. The cubic root of 340404040 is about 698.2295668291.

Adding to 340404040 its reverse (40404043), we get a palindrome (380808083).

It can be divided in two parts, 340 and 404040, that multiplied together give a triangular number (137373600 = T16575).

The spelling of 340404040 in words is "three hundred forty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 97 118 194 236 295 388 472 485 590 776 970 1180 1487 1940 2360 2974 3880 5723 5948 7435 11446 11896 14870 22892 28615 29740 45784 57230 59480 87733 114460 144239 175466 228920 288478 350932 438665 576956 701864 721195 877330 1153912 1442390 1754660 2884780 3509320 5769560 8510101 17020202 34040404 42550505 68080808 85101010 170202020 340404040