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340411242322424 = 237133718169821989
BaseRepresentation
bin100110101100110100010101…
…1001011010001100111111000
31122122021222220202212010021102
41031121220223023101213320
5324104244211013304144
63203554433230430532
7131462620631565050
oct11531505313214770
91578258822763242
10340411242322424
1199513662874149
1232219b90362448
13117c38474ba1b0
14600bdc6222560
152954d26e2cb4e
hex1359a2b2d19f8

340411242322424 has 128 divisors (see below), whose sum is σ = 811253323171200. Its totient is φ = 130304586885120.

The previous prime is 340411242322367. The next prime is 340411242322427. The reversal of 340411242322424 is 424223242114043.

It is a super-3 number, since 3×3404112423224243 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340411242322427) 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, 30035579 + ... + 39786410.

It is an arithmetic number, because the mean of its divisors is an integer number (6337916587275).

Almost surely, 2340411242322424 is an apocalyptic number.

It is an amenable number.

340411242322424 is an abundant number, since it is smaller than the sum of its proper divisors (470842080848776).

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

340411242322424 is a wasteful number, since it uses less digits than its factorization.

340411242322424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69822233 (or 69822229 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 340411242322424 its reverse (424223242114043), we get a palindrome (764634484436467).

The spelling of 340411242322424 in words is "three hundred forty trillion, four hundred eleven billion, two hundred forty-two million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 181 182 259 296 362 364 481 518 724 728 962 1036 1267 1448 1924 2072 2353 2534 3367 3848 4706 5068 6697 6734 9412 10136 13394 13468 16471 18824 26788 26936 32942 46879 53576 65884 87061 93758 131768 174122 187516 348244 375032 609427 696488 1218854 2437708 4875416 69821989 139643978 279287956 488753923 558575912 907685857 977507846 1815371714 1955015692 2583413593 3630743428 3910031384 5166827186 6353800999 7261486856 10333654372 12637780009 12707601998 18083895151 20667308744 25275560018 25415203996 33584376709 36167790302 50551120036 50830407992 67168753418 72335580604 88464460063 101102240072 134337506836 144671161208 164291140117 176928920126 235090636963 268675013672 328582280234 353857840252 467597860333 470181273926 657164560468 707715680504 935195720666 940362547852 1150037980819 1314329120936 1870391441332 1880725095704 2300075961638 3273185022331 3740782882664 4600151923276 6078772184329 6546370044662 9200303846552 12157544368658 13092740089324 24315088737316 26185480178648 42551405290303 48630177474632 85102810580606 170205621161212 340411242322424