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343065408 = 2637475431
BaseRepresentation
bin10100011100101…
…100001101000000
3212220112112021020
4110130230031000
51200311043113
654013025440
711334002460
oct2434541500
9786475236
10343065408
11166719134
1296a85280
13560c89aa
14337c3ba0
15201b9023
hex1472c340

343065408 has 112 divisors (see below), whose sum is σ = 1059631104. Its totient is φ = 95915520.

The previous prime is 343065407. The next prime is 343065427. The reversal of 343065408 is 804560343.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343065407) 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, 60453 + ... + 65883.

It is an arithmetic number, because the mean of its divisors is an integer number (9460992).

Almost surely, 2343065408 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 343065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529815552).

343065408 is an abundant number, since it is smaller than the sum of its proper divisors (716565696).

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

343065408 is a wasteful number, since it uses less digits than its factorization.

343065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 343065408 is about 18522.0249432939. The cubic root of 343065408 is about 700.0444924101.

The spelling of 343065408 in words is "three hundred forty-three million, sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 5431 7896 9024 10528 10862 15792 16293 21056 21724 31584 32586 38017 43448 63168 65172 76034 86896 114051 130344 152068 173792 228102 255257 260688 304136 347584 456204 510514 521376 608272 765771 912408 1021028 1042752 1216544 1531542 1786799 1824816 2042056 2433088 3063084 3573598 3649632 4084112 5360397 6126168 7147196 7299264 8168224 10720794 12252336 14294392 16336448 21441588 24504672 28588784 42883176 49009344 57177568 85766352 114355136 171532704 343065408