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343424448 = 2634312137
BaseRepresentation
bin10100011110000…
…011110111000000
3212221012202210000
4110132003313000
51200404040243
654024440000
711340026313
oct2436036700
9787182700
10343424448
11166943964
1297019000
13561c3243
143387897a
152023a5d3
hex14783dc0

343424448 has 140 divisors (see below), whose sum is σ = 1051348672. Its totient is φ = 110730240.

The previous prime is 343424443. The next prime is 343424461. The reversal of 343424448 is 844424343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343424443) 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 19 ways as a sum of consecutive naturals, for example, 159636 + ... + 161772.

Almost surely, 2343424448 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 343424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525674336).

343424448 is an abundant number, since it is smaller than the sum of its proper divisors (707924224).

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

343424448 is a wasteful number, since it uses less digits than its factorization.

343424448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2173 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 343424448 is about 18531.7146535338. The cubic root of 343424448 is about 700.2886211166.

The spelling of 343424448 in words is "three hundred forty-three million, four hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2137 2232 2511 2592 2976 3348 4274 4464 5022 5184 5952 6411 6696 8548 8928 10044 12822 13392 17096 17856 19233 20088 25644 26784 34192 38466 40176 51288 53568 57699 66247 68384 76932 80352 102576 115398 132494 136768 153864 160704 173097 198741 205152 230796 264988 307728 346194 397482 410304 461592 529976 596223 615456 692388 794964 923184 1059952 1192446 1230912 1384776 1589928 1788669 1846368 2119904 2384892 2769552 3179856 3577338 3692736 4239808 4769784 5366007 5539104 6359712 7154676 9539568 10732014 11078208 12719424 14309352 19079136 21464028 28618704 38158272 42928056 57237408 85856112 114474816 171712224 343424448