Search a number
-
+
342222420 = 223559277349
BaseRepresentation
bin10100011001011…
…110011001010100
3212211221200220110
4110121132121110
51200102104140
653543003020
711323562001
oct2431363124
9784850813
10342222420
111661a2851
1296739470
1355b92097
14336448a8
152009e380
hex1465e654

342222420 has 96 divisors (see below), whose sum is σ = 980784000. Its totient is φ = 89132544.

The previous prime is 342222407. The next prime is 342222437. The reversal of 342222420 is 24222243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980406 + ... + 980754.

It is an arithmetic number, because the mean of its divisors is an integer number (10216500).

Almost surely, 2342222420 is an apocalyptic number.

342222420 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 342222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490392000).

342222420 is an abundant number, since it is smaller than the sum of its proper divisors (638561580).

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

342222420 is a wasteful number, since it uses less digits than its factorization.

342222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 342222420 is about 18499.2545795770. The cubic root of 342222420 is about 699.4706337880.

Adding to 342222420 its reverse (24222243), we get a palindrome (366444663).

The spelling of 342222420 in words is "three hundred forty-two million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 277 295 349 354 554 590 698 708 831 885 1047 1108 1180 1385 1396 1662 1745 1770 2094 2770 3324 3490 3540 4155 4188 5235 5540 6980 8310 10470 16343 16620 20591 20940 32686 41182 49029 61773 65372 81715 82364 96673 98058 102955 123546 163430 193346 196116 205910 245145 247092 290019 308865 326860 386692 411820 483365 490290 580038 617730 966730 980580 1160076 1235460 1450095 1933460 2900190 5703707 5800380 11407414 17111121 22814828 28518535 34222242 57037070 68444484 85555605 114074140 171111210 342222420