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342912384 = 27321971511
BaseRepresentation
bin10100011100000…
…110110110000000
3212220020202100200
4110130012312000
51200241144014
654005445200
711332464363
oct2434066600
9786222320
10342912384
11166624171
1296a10800
1356074149
14337840da
1520188a09
hex14706d80

342912384 has 96 divisors (see below), whose sum is σ = 992431440. Its totient is φ = 113648640.

The previous prime is 342912379. The next prime is 342912403. The reversal of 342912384 is 483219243.

It is a tau number, because it is divible by the number of its divisors (96).

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.

Its product of digits (41472) is a multiple of the sum of its prime factors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226189 + ... + 227699.

Almost surely, 2342912384 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 342912384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496215720).

342912384 is an abundant number, since it is smaller than the sum of its proper divisors (649519056).

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

342912384 is a wasteful number, since it uses less digits than its factorization.

342912384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1713 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 342912384 is about 18517.8936167157. The cubic root of 342912384 is about 699.9403922032.

The spelling of 342912384 in words is "three hundred forty-two million, nine hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 288 384 394 576 591 788 1152 1182 1511 1576 1773 2364 3022 3152 3546 4533 4728 6044 6304 7092 9066 9456 12088 12608 13599 14184 18132 18912 24176 25216 27198 28368 36264 37824 48352 54396 56736 72528 75648 96704 108792 113472 145056 193408 217584 226944 290112 297667 435168 580224 595334 870336 893001 1190668 1740672 1786002 2381336 2679003 3572004 4762672 5358006 7144008 9525344 10716012 14288016 19050688 21432024 28576032 38101376 42864048 57152064 85728096 114304128 171456192 342912384