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343077444 = 22344632287
BaseRepresentation
bin10100011100101…
…111001001000100
3212220120010210000
4110130233021010
51200311434234
654013201300
711334052533
oct2434571104
9786503700
10343077444
11166727186
1296a90230
1356101308
14337c831a
15201bc899
hex1472f244

343077444 has 60 divisors (see below), whose sum is σ = 899202304. Its totient is φ = 114062256.

The previous prime is 343077439. The next prime is 343077479. The reversal of 343077444 is 444770343.

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

It is a junction number, because it is equal to n+sod(n) for n = 343077399 and 343077408.

It is an unprimeable number.

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, 148869 + ... + 151155.

Almost surely, 2343077444 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 343077444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449601152).

343077444 is an abundant number, since it is smaller than the sum of its proper divisors (556124860).

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

343077444 is a wasteful number, since it uses less digits than its factorization.

343077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 343077444 is about 18522.3498509233. The cubic root of 343077444 is about 700.0526790287.

The spelling of 343077444 in words is "three hundred forty-three million, seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 463 926 1389 1852 2287 2778 4167 4574 5556 6861 8334 9148 12501 13722 16668 20583 25002 27444 37503 41166 50004 61749 75006 82332 123498 150012 185247 246996 370494 740988 1058881 2117762 3176643 4235524 6353286 9529929 12706572 19059858 28589787 38119716 57179574 85769361 114359148 171538722 343077444