Base | Representation |
---|---|
bin | 10100100100111… |
… | …000101100000000 |
3 | 220001120200011110 |
4 | 110210320230000 |
5 | 1201333314241 |
6 | 54131043320 |
7 | 11361160632 |
oct | 2444705400 |
9 | 801520143 |
10 | 345213696 |
11 | 167956183 |
12 | 97740540 |
13 | 5669b779 |
14 | 33bc2a52 |
15 | 20490816 |
hex | 14938b00 |
345213696 has 144 divisors (see below), whose sum is σ = 984995424. Its totient is φ = 106954752.
The previous prime is 345213653. The next prime is 345213697. The reversal of 345213696 is 696312543.
It is a super-3 number, since 3×3452136963 (a number of 27 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (345213697) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788576 + ... + 1788768.
It is an arithmetic number, because the mean of its divisors is an integer number (6840246).
Almost surely, 2345213696 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 345213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492497712).
345213696 is an abundant number, since it is smaller than the sum of its proper divisors (639781728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345213696 is a wasteful number, since it uses less digits than its factorization.
345213696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 366 (or 352 counting only the distinct ones).
The product of its digits is 116640, while the sum is 39.
The square root of 345213696 is about 18579.9272334420. The cubic root of 345213696 is about 701.5026875240.
The spelling of 345213696 in words is "three hundred forty-five million, two hundred thirteen thousand, six hundred ninety-six".
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