Search a number
-
+
343600404 = 223723315737
BaseRepresentation
bin10100011110101…
…110110100010100
3212221112201010220
4110132232310110
51200430203104
654032314340
711341361310
oct2436566424
9787481126
10343600404
11166a54084
12970a29b0
1356255364
14338c2b40
15202727d9
hex147aed14

343600404 has 96 divisors (see below), whose sum is σ = 987119616. Its totient is φ = 90858240.

The previous prime is 343600403. The next prime is 343600423. The reversal of 343600404 is 404006343.

It is a super-4 number, since 4×3436004044 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343600403) 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, 57024 + ... + 62760.

It is an arithmetic number, because the mean of its divisors is an integer number (10282496).

Almost surely, 2343600404 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 343600404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493559808).

343600404 is an abundant number, since it is smaller than the sum of its proper divisors (643519212).

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

343600404 is a wasteful number, since it uses less digits than its factorization.

343600404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 343600404 is about 18536.4614746181. The cubic root of 343600404 is about 700.4082000100.

Adding to 343600404 its reverse (404006343), we get a palindrome (747606747).

The spelling of 343600404 in words is "three hundred forty-three million, six hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1302 1426 1932 2139 2604 2852 4278 4991 5737 8556 9982 11474 14973 17211 19964 22948 29946 34422 40159 59892 68844 80318 120477 131951 160636 177847 240954 263902 355694 395853 481908 527804 533541 711388 791706 923657 1067082 1244929 1583412 1847314 2134164 2489858 2770971 3694628 3734787 4090481 4979716 5541942 7469574 8180962 11083884 12271443 14939148 16361924 24542886 28633367 49085772 57266734 85900101 114533468 171800202 343600404