| Base | Representation |
|---|---|
| bin | 100110101010001000000101… |
| … | …1010011000101001110000000 |
| 3 | 1122120222122010122221221220000 |
| 4 | 1031110100023103011032000 |
| 5 | 324032214131104413100 |
| 6 | 3203112500222520000 |
| 7 | 131424114256425111 |
| oct | 11524201323051600 |
| 9 | 1576878118857800 |
| 10 | 340041340310400 |
| 11 | 993907a4822683 |
| 12 | 3217a358a36000 |
| 13 | 117979b76319c1 |
| 14 | 5dd81354d4208 |
| 15 | 294a3c7a66900 |
| hex | 135440b4c5380 |
340041340310400 has 480 divisors, whose sum is σ = 1256292353281680. Its totient is φ = 90571823308800.
The previous prime is 340041340310363. The next prime is 340041340310407. The reversal of 340041340310400 is 4013043140043.
340041340310400 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 1 + 340 + 310 + 4 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×3400413403104002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (340041340310407) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221369005 + ... + 222899795.
Almost surely, 2340041340310400 is an apocalyptic number.
340041340310400 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 340041340310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628146176640840).
340041340310400 is an abundant number, since it is smaller than the sum of its proper divisors (916251012971280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340041340310400 is a wasteful number, since it uses less digits than its factorization.
340041340310400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1531684 (or 1531658 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 340041340310400 its reverse (4013043140043), we get a palindrome (344054383450443).
The spelling of 340041340310400 in words is "three hundred forty trillion, forty-one billion, three hundred forty million, three hundred ten thousand, four hundred".
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