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340499808 = 25331123257
BaseRepresentation
bin10100010010111…
…001110101100000
3212201201011221000
4110102321311200
51144131443213
653442032000
711303125545
oct2422716540
9781634830
10340499808
11165226600
1296048600
135570ac9c
1433316bcc
151ed5dc73
hex144b9d60

340499808 has 144 divisors (see below), whose sum is σ = 1091951280. Its totient is φ = 103150080.

The previous prime is 340499801. The next prime is 340499837. The reversal of 340499808 is 808994043.

It is a happy number.

340499808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340499801) 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, 102916 + ... + 106172.

It is an arithmetic number, because the mean of its divisors is an integer number (7582995).

Almost surely, 2340499808 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 340499808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545975640).

340499808 is an abundant number, since it is smaller than the sum of its proper divisors (751451472).

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

340499808 is a wasteful number, since it uses less digits than its factorization.

340499808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 340499808 is about 18452.6368847382. The cubic root of 340499808 is about 698.2950397881.

The spelling of 340499808 in words is "three hundred forty million, four hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3257 3267 3872 4356 4752 5808 6514 6534 8712 9504 9771 11616 13028 13068 17424 19542 26056 26136 29313 34848 35827 39084 52112 52272 58626 71654 78168 87939 104224 104544 107481 117252 143308 156336 175878 214962 234504 286616 312672 322443 351756 394097 429924 469008 573232 644886 703512 788194 859848 938016 967329 1146464 1182291 1289772 1407024 1576388 1719696 1934658 2364582 2579544 2814048 3152776 3439392 3546873 3869316 4729164 5159088 6305552 7093746 7738632 9458328 10318176 10640619 12611104 14187492 15477264 18916656 21281238 28374984 30954528 37833312 42562476 56749968 85124952 113499936 170249904 340499808