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342241202310 = 235717257373019
BaseRepresentation
bin1001111101011110010…
…10100101000010000110
31012201101101012102211120
410332233022211002012
521101402221433220
6421120132414410
733504025135560
oct4765712450206
91181341172746
10342241202310
11122164266857
12563b3a77406
132637230a687
14127c9234330
158d80d00a40
hex4faf2a5086

342241202310 has 128 divisors (see below), whose sum is σ = 997807610880. Its totient is φ = 73338322944.

The previous prime is 342241202267. The next prime is 342241202311. The reversal of 342241202310 is 13202142243.

It is a happy number.

It is a super-2 number, since 2×3422412023102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342241202311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730981 + ... + 1103999.

It is an arithmetic number, because the mean of its divisors is an integer number (7795371960).

Almost surely, 2342241202310 is an apocalyptic number.

342241202310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342241202310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498903805440).

342241202310 is an abundant number, since it is smaller than the sum of its proper divisors (655566408570).

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

342241202310 is a wasteful number, since it uses less digits than its factorization.

342241202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373310.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 342241202310 its reverse (13202142243), we get a palindrome (355443344553).

The spelling of 342241202310 in words is "three hundred forty-two billion, two hundred forty-one million, two hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 257 357 510 514 595 714 771 1190 1285 1542 1785 1799 2570 3570 3598 3855 4369 5397 7710 8738 8995 10794 13107 17990 21845 26214 26985 30583 43690 53970 61166 65535 91749 131070 152915 183498 305830 373019 458745 746038 917490 1119057 1865095 2238114 2611133 3730190 5222266 5595285 6341323 7833399 11190570 12682646 13055665 15666798 19023969 26111330 31706615 38047938 39166995 44389261 63413230 78333990 88778522 95119845 95865883 133167783 190239690 191731766 221946305 266335566 287597649 443892610 479329415 575195298 665838915 671061181 958658830 1331677830 1342122362 1437988245 1629720011 2013183543 2875976490 3259440022 3355305905 4026367086 4889160033 6710611810 8148600055 9778320066 10065917715 11408040077 16297200110 20131835430 22816080154 24445800165 34224120231 48891600330 57040200385 68448240462 114080400770 171120601155 342241202310