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340406230340256 = 25317238278754029
BaseRepresentation
bin100110101100110010000000…
…0011100000101001010100000
31122122021111222110221001021020
41031121210000130011022200
5324104203424431342011
63203552244030325440
7131462352502464123
oct11531440034051240
91578244873831236
10340406230340256
1199511520722823
1232219011959880
13117c3229024782
14600ba6c7223ba
152954b31e0b006
hex13599007052a0

340406230340256 has 96 divisors (see below), whose sum is σ = 946168897746240. Its totient is φ = 106789617217536.

The previous prime is 340406230340227. The next prime is 340406230340317. The reversal of 340406230340256 is 652043032604043.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34508650 + ... + 43262678.

It is an arithmetic number, because the mean of its divisors is an integer number (9855926018190).

Almost surely, 2340406230340256 is an apocalyptic number.

It is an amenable number.

340406230340256 is an abundant number, since it is smaller than the sum of its proper divisors (605762667405984).

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

340406230340256 is a wasteful number, since it uses less digits than its factorization.

340406230340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777886 (or 8777878 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 340406230340256 its reverse (652043032604043), we get a palindrome (992449262944299).

The spelling of 340406230340256 in words is "three hundred forty trillion, four hundred six billion, two hundred thirty million, three hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 23827 47654 71481 95308 142962 190616 285924 381232 405059 571848 762464 810118 1143696 1215177 1620236 2287392 2430354 3240472 4860708 6480944 8754029 9721416 12961888 17508058 19442832 26262087 35016116 38885664 52524174 70032232 105048348 140064464 148818493 210096696 280128928 297636986 420193392 446455479 595273972 840386784 892910958 1190547944 1785821916 2381095888 3571643832 4762191776 7143287664 14286575328 208582248983 417164497966 625746746949 834328995932 1251493493898 1668657991864 2502986987796 3337315983728 3545898232711 5005973975592 6674631967456 7091796465422 10011947951184 10637694698133 14183592930844 20023895902368 21275389396266 28367185861688 42550778792532 56734371723376 85101557585064 113468743446752 170203115170128 340406230340256