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343400408 = 231317434517
BaseRepresentation
bin10100011101111…
…101111111011000
3212221011112210122
4110131331333120
51200402303113
654024132412
711336566241
oct2435757730
9787145718
10343400408
1116692789a
1297007108
13561b5310
143386dcc8
1520233408
hex1477dfd8

343400408 has 64 divisors (see below), whose sum is σ = 751433760. Its totient is φ = 145668096.

The previous prime is 343400389. The next prime is 343400417. The reversal of 343400408 is 804004343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73766 + ... + 78282.

Almost surely, 2343400408 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 343400408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375716880).

343400408 is an abundant number, since it is smaller than the sum of its proper divisors (408033352).

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

343400408 is a wasteful number, since it uses less digits than its factorization.

343400408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 343400408 is about 18531.0660243819. The cubic root of 343400408 is about 700.2722804713.

The spelling of 343400408 in words is "three hundred forty-three million, four hundred thousand, four hundred eight".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 172 221 344 442 559 731 884 1118 1462 1768 2236 2924 4472 4517 5848 9034 9503 18068 19006 36136 38012 58721 76024 76789 117442 153578 194231 234884 307156 388462 469768 614312 776924 998257 1553848 1996514 2525003 3301927 3993028 5050006 6603854 7986056 10100012 13207708 20200024 26415416 42925051 85850102 171700204 343400408