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342455153136 = 243297110333641
BaseRepresentation
bin1001111101110111110…
…10101111000111110000
31012201221021210021012020
410332323322233013300
521102322004400021
6421153254231440
733512233526115
oct4767372570760
91181837707166
10342455153136
11122264008218
1256453655580
13263a773a8b5
141280980890c
158d949b37c6
hex4fbbeaf1f0

342455153136 has 160 divisors (see below), whose sum is σ = 937110021120. Its totient is φ = 107604940800.

The previous prime is 342455153081. The next prime is 342455153137. The reversal of 342455153136 is 631351554243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342455153137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10162876 + ... + 10196516.

It is an arithmetic number, because the mean of its divisors is an integer number (5856937632).

Almost surely, 2342455153136 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 342455153136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468555010560).

342455153136 is an abundant number, since it is smaller than the sum of its proper divisors (594654867984).

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

342455153136 is a wasteful number, since it uses less digits than its factorization.

342455153136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33855 (or 33849 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 342455153136 in words is "three hundred forty-two billion, four hundred fifty-five million, one hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 71 87 103 116 142 174 206 213 232 284 309 348 412 426 464 568 618 696 824 852 1136 1236 1392 1648 1704 2059 2472 2987 3408 4118 4944 5974 6177 7313 8236 8961 11948 12354 14626 16472 17922 21939 23896 24708 29252 32944 33641 35844 43878 47792 49416 58504 67282 71688 87756 98832 100923 117008 134564 143376 175512 201846 212077 269128 351024 403692 424154 538256 636231 807384 848308 975589 1272462 1614768 1696616 1951178 2388511 2544924 2926767 3393232 3465023 3902356 4777022 5089848 5853534 6930046 7165533 7804712 9554044 10179696 10395069 11707068 13860092 14331066 15609424 19108088 20790138 23414136 27720184 28662132 38216176 41580276 46828272 55440368 57324264 69266819 83160552 100485667 114648528 138533638 166321104 200971334 207800457 246016633 277067276 301457001 401942668 415600914 492033266 554134552 602914002 738049899 803885336 831201828 984066532 1108269104 1205828004 1476099798 1607770672 1662403656 1968133064 2411656008 2952199596 3324807312 3936266128 4823312016 5904399192 7134482357 11808798384 14268964714 21403447071 28537929428 42806894142 57075858856 85613788284 114151717712 171227576568 342455153136