Search a number
-
+
342443760 = 24351937393
BaseRepresentation
bin10100011010010…
…100011011110000
3212212100221112020
4110122110123300
51200131200020
653551431440
711325503211
oct2432243360
9785327466
10342443760
1116633407a
1296825580
1355c3ba59
14336a1408
15200e4c40
hex146946f0

342443760 has 80 divisors (see below), whose sum is σ = 1067220384. Its totient is φ = 90832896.

The previous prime is 342443719. The next prime is 342443771. The reversal of 342443760 is 67344243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42624 + ... + 50016.

Almost surely, 2342443760 is an apocalyptic number.

342443760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342443760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533610192).

342443760 is an abundant number, since it is smaller than the sum of its proper divisors (724776624).

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

342443760 is a wasteful number, since it uses less digits than its factorization.

342443760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 342443760 is about 18505.2360157875. The cubic root of 342443760 is about 699.6214007113.

The spelling of 342443760 in words is "three hundred forty-two million, four hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 7393 7720 9264 11580 14786 15440 22179 23160 29572 36965 44358 46320 59144 73930 88716 110895 118288 147860 177432 221790 295720 354864 443580 591440 887160 1426849 1774320 2853698 4280547 5707396 7134245 8561094 11414792 14268490 17122188 21402735 22829584 28536980 34244376 42805470 57073960 68488752 85610940 114147920 171221880 342443760