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343542444 = 223723414337
BaseRepresentation
bin10100011110100…
…000101010101100
3212221102202122020
4110132200222230
51200421324234
654031150140
711341030320
oct2436405254
9787382566
10343542444
11166a14583
1297075350
1356234b6b
14338a9980
1520260549
hex147a0aac

343542444 has 96 divisors (see below), whose sum is σ = 979485696. Its totient is φ = 91576320.

The previous prime is 343542379. The next prime is 343542469. The reversal of 343542444 is 444245343.

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 31 ways as a sum of consecutive naturals, for example, 77044 + ... + 81380.

It is an arithmetic number, because the mean of its divisors is an integer number (10202976).

Almost surely, 2343542444 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 343542444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489742848).

343542444 is an abundant number, since it is smaller than the sum of its proper divisors (635943252).

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

343542444 is a wasteful number, since it uses less digits than its factorization.

343542444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4413 counting only the distinct ones).

The product of its digits is 92160, while the sum is 33.

The square root of 343542444 is about 18534.8980034960. The cubic root of 343542444 is about 700.3688151688.

Adding to 343542444 its reverse (444245343), we get a palindrome (787787787).

The spelling of 343542444 in words is "three hundred forty-three million, five hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 41 42 46 69 82 84 92 123 138 161 164 246 276 287 322 483 492 574 644 861 943 966 1148 1722 1886 1932 2829 3444 3772 4337 5658 6601 8674 11316 13011 13202 17348 19803 26022 26404 30359 39606 52044 60718 79212 91077 99751 121436 177817 182154 199502 299253 355634 364308 399004 533451 598506 698257 711268 1066902 1197012 1244719 1396514 2094771 2133804 2489438 2793028 3734157 4089791 4189542 4978876 7468314 8179582 8379084 12269373 14936628 16359164 24538746 28628537 49077492 57257074 85885611 114514148 171771222 343542444