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343456425 = 325213294049
BaseRepresentation
bin10100011110001…
…011101010101001
3212221021101122100
4110132023222221
51200411101200
654025244013
711340221454
oct2436135251
9787241570
10343456425
11166965994
1297033609
1356204970
143388649b
1520244d00
hex1478baa9

343456425 has 72 divisors (see below), whose sum is σ = 685503000. Its totient is φ = 163215360.

The previous prime is 343456361. The next prime is 343456427. The reversal of 343456425 is 524654343.

343456425 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 5 + 642 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 194518809 + 148937616 = 13947^2 + 12204^2 .

It is not a de Polignac number, because 343456425 - 26 = 343456361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343456425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343456427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82801 + ... + 86849.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2343456425 is an apocalyptic number.

It is an amenable number.

343456425 is a deficient number, since it is larger than the sum of its proper divisors (342046575).

343456425 is a wasteful number, since it uses less digits than its factorization.

343456425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4099 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 343456425 is about 18532.5773976530. The cubic root of 343456425 is about 700.3103555761.

The spelling of 343456425 in words is "three hundred forty-three million, four hundred fifty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1885 2175 2925 3393 4049 5655 6525 9425 12147 16965 20245 28275 36441 52637 60735 84825 101225 117421 157911 182205 263185 303675 352263 473733 587105 789555 911025 1056789 1315925 1526473 1761315 2368665 2935525 3947775 4579419 5283945 7632365 8806575 11843325 13738257 22897095 26419725 38161825 68691285 114485475 343456425