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342884304 = 243273110973
BaseRepresentation
bin10100011011111…
…111111111010000
3212220012022211200
4110123333333100
51200234244204
654005111200
711332316460
oct2433777720
9786168750
10342884304
11166605064
12969b8500
1356064429
1433777ba0
1520180539
hex146fffd0

342884304 has 120 divisors (see below), whose sum is σ = 1132165632. Its totient is φ = 94798080.

The previous prime is 342884261. The next prime is 342884327. The reversal of 342884304 is 403488243.

342884304 is a `hidden beast` number, since 342 + 8 + 8 + 4 + 304 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 25762 + ... + 36734.

Almost surely, 2342884304 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 342884304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566082816).

342884304 is an abundant number, since it is smaller than the sum of its proper divisors (789281328).

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

342884304 is a wasteful number, since it uses less digits than its factorization.

342884304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 342884304 is about 18517.1354156090. The cubic root of 342884304 is about 699.9212863872.

The spelling of 342884304 in words is "three hundred forty-two million, eight hundred eighty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 10973 15624 21946 31248 32919 43892 65838 76811 87784 98757 131676 153622 175568 197514 230433 263352 307244 340163 395028 460866 526704 614488 680326 691299 790056 921732 1020489 1228976 1360652 1382598 1580112 1843464 2040978 2381141 2721304 2765196 3061467 3686928 4081956 4762282 5442608 5530392 6122934 7143423 8163912 9524564 11060784 12245868 14286846 16327824 19049128 21430269 24491736 28573692 38098256 42860538 48983472 57147384 85721076 114294768 171442152 342884304