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343541424 = 24329475989
BaseRepresentation
bin10100011110100…
…000011010110000
3212221102201020110
4110132200122300
51200421311144
654031141320
711341024332
oct2436403260
9787381213
10343541424
11166a13836
1297074840
1356234565
14338a9452
15202600b9
hex147a06b0

343541424 has 160 divisors (see below), whose sum is σ = 964224000. Its totient is φ = 105183232.

The previous prime is 343541371. The next prime is 343541479. The reversal of 343541424 is 424145343.

It is a junction number, because it is equal to n+sod(n) for n = 343541391 and 343541400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3859972 + ... + 3860060.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2343541424 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 343541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

343541424 is an abundant number, since it is smaller than the sum of its proper divisors (620682576).

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

343541424 is a wasteful number, since it uses less digits than its factorization.

343541424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 343541424 is about 18534.8704878130. The cubic root of 343541424 is about 700.3681220211.

Adding to 343541424 its reverse (424145343), we get a palindrome (767686767).

It can be divided in two parts, 34354 and 1424, that added together give a triangular number (35778 = T267).

The spelling of 343541424 in words is "three hundred forty-three million, five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 59 87 89 94 116 118 141 174 177 178 188 232 236 267 282 348 354 356 376 464 472 534 564 696 708 712 752 944 1068 1128 1363 1392 1416 1424 1711 2136 2256 2581 2726 2773 2832 3422 4089 4183 4272 5133 5162 5251 5452 5546 6844 7743 8178 8319 8366 10266 10324 10502 10904 11092 12549 13688 15486 15753 16356 16638 16732 20532 20648 21004 21808 22184 25098 27376 30972 31506 32712 33276 33464 41064 41296 42008 44368 50196 61944 63012 65424 66552 66928 80417 82128 84016 100392 121307 123888 126024 133104 152279 160834 200784 241251 242614 246797 252048 304558 321668 363921 456837 482502 485228 493594 609116 643336 727842 740391 913674 965004 970456 987188 1218232 1286672 1455684 1480782 1827348 1930008 1940912 1974376 2436464 2911368 2961564 3654696 3860016 3948752 5822736 5923128 7157113 7309392 11846256 14314226 21471339 28628452 42942678 57256904 85885356 114513808 171770712 343541424