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340436712 = 233721126317
BaseRepresentation
bin10100010010101…
…010011011101000
3212201120222101010
4110102222123220
51144122433322
653440423520
711302443600
oct2422523350
9781528333
10340436712
11165193160
1296017ba0
13556b8355
14332dbc00
151ed4a20c
hex144aa6e8

340436712 has 96 divisors (see below), whose sum is σ = 1080090720. Its totient is φ = 88421760.

The previous prime is 340436711. The next prime is 340436749. The reversal of 340436712 is 217634043.

It is a self number, because there is not a number n which added to its sum of digits gives 340436712.

It is not an unprimeable number, because it can be changed into a prime (340436711) 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 23 ways as a sum of consecutive naturals, for example, 223 + ... + 26094.

It is an arithmetic number, because the mean of its divisors is an integer number (11250945).

Almost surely, 2340436712 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 340436712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540045360).

340436712 is an abundant number, since it is smaller than the sum of its proper divisors (739654008).

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

340436712 is a wasteful number, since it uses less digits than its factorization.

340436712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26351 (or 26340 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 340436712 is about 18450.9271311769. The cubic root of 340436712 is about 698.2519048195.

It can be divided in two parts, 34043 and 6712, that added together give a triangular number (40755 = T285).

The spelling of 340436712 in words is "three hundred forty million, four hundred thirty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 26317 52634 78951 105268 157902 184219 210536 289487 315804 368438 552657 578974 631608 736876 868461 1105314 1157948 1289533 1473752 1736922 2026409 2210628 2315896 2579066 3473844 3868599 4052818 4421256 5158132 6079227 6947688 7737198 8105636 10316264 12158454 14184863 15474396 16211272 24316908 28369726 30948792 42554589 48633816 56739452 85109178 113478904 170218356 340436712