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342355111252 = 2271117115156807
BaseRepresentation
bin1001111101101011111…
…01000110110101010100
31012201200022112121112021
410332311331012311110
521102120402030002
6421135322102524
733506610300610
oct4766575066524
91181608477467
10342355111252
11122212598280
125642604aa44
132638cab100b
14127da406340
158d8ad01737
hex4fb5f46d54

342355111252 has 96 divisors (see below), whose sum is σ = 791596302336. Its totient is φ = 125427648000.

The previous prime is 342355111223. The next prime is 342355111261. The reversal of 342355111252 is 252111553243.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998233 + ... + 6055039.

It is an arithmetic number, because the mean of its divisors is an integer number (8245794816).

Almost surely, 2342355111252 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 342355111252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395798151168).

342355111252 is an abundant number, since it is smaller than the sum of its proper divisors (449241191084).

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

342355111252 is a wasteful number, since it uses less digits than its factorization.

342355111252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57997 (or 57995 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

Adding to 342355111252 its reverse (252111553243), we get a palindrome (594466664495).

The spelling of 342355111252 in words is "three hundred forty-two billion, three hundred fifty-five million, one hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1151 1309 2302 2618 4604 5236 8057 12661 16114 19567 25322 32228 39134 50644 56807 78268 88627 113614 136969 177254 215237 227228 273938 354508 397649 430474 547876 624877 795298 860948 965719 1249754 1506659 1590596 1931438 2499508 3013318 3862876 4374139 6026636 6760033 8748278 10622909 13520066 17496556 21245818 27040132 42491636 65384857 74360363 130769714 148720726 261539428 297441452 457693999 719233427 915387998 1111542569 1438466854 1830775996 2223085138 2876933708 4446170276 5034633989 7780797983 10069267978 12226968259 15561595966 20138535956 24453936518 31123191932 48907873036 85588777813 171177555626 342355111252