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342421156352 = 2911223512
BaseRepresentation
bin1001111101110011110…
…01000011001000000000
31012201211220211001101002
410332321321003020000
521102234304000402
6421150041431132
733511341543122
oct4767171031000
91181756731332
10342421156352
111222468a7a00
125644419b4a8
13263a0696662
14128050b9212
158d919ea602
hex4fb9e43200

342421156352 has 90 divisors (see below), whose sum is σ = 752345451627. Its totient is φ = 155579776000.

The previous prime is 342421156351. The next prime is 342421156373. The reversal of 342421156352 is 253651124243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 171210578176 + 171210578176 = 413776^2 + 413776^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=413776.

It is not an unprimeable number, because it can be changed into a prime (342421156351) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 145647977 + ... + 145650327.

Almost surely, 2342421156352 is an apocalyptic number.

342421156352 is a gapful number since it is divisible by the number (32) 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 342421156352

342421156352 is an abundant number, since it is smaller than the sum of its proper divisors (409924295275).

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

342421156352 is an frugal number, since it uses more digits than its factorization.

342421156352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 2364 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The spelling of 342421156352 in words is "three hundred forty-two billion, four hundred twenty-one million, one hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2351 2816 3872 4702 5632 7744 9404 15488 18808 25861 30976 37616 51722 61952 75232 103444 150464 206888 284471 300928 413776 568942 601856 827552 1137884 1203712 1655104 2275768 3310208 4551536 5527201 6620416 9103072 11054402 13240832 18206144 22108804 36412288 44217608 60799211 72824576 88435216 121598422 145649152 176870432 243196844 353740864 486393688 668791321 707481728 972787376 1337582642 1414963456 1945574752 2675165284 2829926912 3891149504 5350330568 7782299008 10700661136 15564598016 21401322272 31129196032 42802644544 85605289088 171210578176 342421156352