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342221100 = 2235213471867
BaseRepresentation
bin10100011001011…
…110000100101100
3212211221122002120
4110121132010230
51200102033400
653542552540
711323555104
oct2431360454
9784848076
10342221100
111661a1861
1296738750
1355b915c0
1433644204
152009dca0
hex1465e12c

342221100 has 144 divisors (see below), whose sum is σ = 1089596928. Its totient is φ = 82402560.

The previous prime is 342221081. The next prime is 342221107. The reversal of 342221100 is 1122243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 342221100.

It is not an unprimeable number, because it can be changed into a prime (342221107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 182367 + ... + 184233.

Almost surely, 2342221100 is an apocalyptic number.

342221100 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 342221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544798464).

342221100 is an abundant number, since it is smaller than the sum of its proper divisors (747375828).

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

342221100 is a wasteful number, since it uses less digits than its factorization.

342221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 342221100 is about 18499.2189024294. The cubic root of 342221100 is about 699.4697344679.

Adding to 342221100 its reverse (1122243), we get a palindrome (343343343).

The spelling of 342221100 in words is "three hundred forty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 130 141 150 156 188 195 235 260 282 300 325 390 470 564 611 650 705 780 940 975 1175 1222 1300 1410 1833 1867 1950 2350 2444 2820 3055 3525 3666 3734 3900 4700 5601 6110 7050 7332 7468 9165 9335 11202 12220 14100 15275 18330 18670 22404 24271 28005 30550 36660 37340 45825 46675 48542 56010 61100 72813 87749 91650 93350 97084 112020 121355 140025 145626 175498 183300 186700 242710 263247 280050 291252 350996 364065 438745 485420 526494 560100 606775 728130 877490 1052988 1140737 1213550 1316235 1456260 1754980 1820325 2193725 2281474 2427100 2632470 3422211 3640650 4387450 4562948 5264940 5703685 6581175 6844422 7281300 8774900 11407370 13162350 13688844 17111055 22814740 26324700 28518425 34222110 57036850 68444220 85555275 114073700 171110550 342221100