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341234040320 = 295177775011
BaseRepresentation
bin1001111011100110010…
…00100011111000000000
31012121210012001022022122
410331303020203320000
521042321403242240
6420432153423412
733440045325335
oct4756310437000
91177705038278
10341234040320
111217977a1078
125617270ab68
1326241763634
141273158098c
158d226a74b5
hex4f73223e00

341234040320 has 80 divisors (see below), whose sum is σ = 818633260368. Its totient is φ = 136414986240.

The previous prime is 341234040317. The next prime is 341234040337. The reversal of 341234040320 is 23040432143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3412340403202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 341234040320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4511615 + ... + 4586625.

Almost surely, 2341234040320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341234040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409316630184).

341234040320 is an abundant number, since it is smaller than the sum of its proper divisors (477399220048).

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

341234040320 is an equidigital number, since it uses as much as digits as its factorization.

341234040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76811 (or 76795 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 341234040320 its reverse (23040432143), we get a palindrome (364274472463).

The spelling of 341234040320 in words is "three hundred forty-one billion, two hundred thirty-four million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1777 2560 3554 7108 8885 14216 17770 28432 35540 56864 71080 75011 113728 142160 150022 227456 284320 300044 375055 454912 568640 600088 750110 909824 1137280 1200176 1500220 2274560 2400352 3000440 4549120 4800704 6000880 9601408 12001760 19202816 24003520 38405632 48007040 96014080 133294547 192028160 266589094 533178188 666472735 1066356376 1332945470 2132712752 2665890940 4265425504 5331781880 8530851008 10663563760 17061702016 21327127520 34123404032 42654255040 68246808064 85308510080 170617020160 341234040320