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343402102312440 = 233516391119271509
BaseRepresentation
bin100111000010100101000100…
…0010100101100110111111000
31200000212220211221120210010020
41032011022020110230313320
5330002300001142444230
63214204425320050440
7132221661136206543
oct11605121024546770
91600786757523106
10343402102312440
119a467017310066
1232621765303a20
131197c8aa558062
1460b2a7129985a
1529a7a2403a810
hex138528852cdf8

343402102312440 has 128 divisors (see below), whose sum is σ = 1037664434764800. Its totient is φ = 90912182699520.

The previous prime is 343402102312421. The next prime is 343402102312441. The reversal of 343402102312440 is 44213201204343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343402102312441) 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, 8183406 + ... + 27454914.

It is an arithmetic number, because the mean of its divisors is an integer number (8106753396600).

Almost surely, 2343402102312440 is an apocalyptic number.

343402102312440 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 343402102312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518832217382400).

343402102312440 is an abundant number, since it is smaller than the sum of its proper divisors (694262332452360).

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

343402102312440 is a wasteful number, since it uses less digits than its factorization.

343402102312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272597 (or 19272593 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 343402102312440 its reverse (44213201204343), we get a palindrome (387615303516783).

The spelling of 343402102312440 in words is "three hundred forty-three trillion, four hundred two billion, one hundred two million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 911 978 1304 1630 1822 1956 2445 2733 3260 3644 3912 4555 4890 5466 6520 7288 9110 9780 10932 13665 18220 19560 21864 27330 36440 54660 109320 148493 296986 445479 593972 742465 890958 1187944 1484930 1781916 2227395 2969860 3563832 4454790 5939720 8909580 17819160 19271509 38543018 57814527 77086036 96357545 115629054 154172072 192715090 231258108 289072635 385430180 462516216 578145270 770860360 1156290540 2312581080 3141255967 6282511934 9423767901 12565023868 15706279835 17556344699 18847535802 25130047736 31412559670 35112689398 37695071604 47118839505 52669034097 62825119340 70225378796 75390143208 87781723495 94237679010 105338068194 125650238680 140450757592 175563446990 188475358020 210676136388 263345170485 351126893980 376950716040 421352272776 526690340970 702253787960 1053380681940 2106761363880 2861684185937 5723368371874 8585052557811 11446736743748 14308420929685 17170105115622 22893473487496 28616841859370 34340210231244 42925262789055 57233683718740 68680420462488 85850525578110 114467367437480 171701051156220 343402102312440