| Base | Representation |
|---|---|
| bin | 1010000011010010101… |
| … | …00001001001110000000 |
| 3 | 1020000110000210211001100 |
| 4 | 11001221110021032000 |
| 5 | 21124301223201000 |
| 6 | 422354054534400 |
| 7 | 33644306606166 |
| oct | 5015124111600 |
| 9 | 1200400724040 |
| 10 | 345364272000 |
| 11 | 123517145290 |
| 12 | 56b25967400 |
| 13 | 2674c3520c7 |
| 14 | 12a03d15236 |
| 15 | 8eb50a4a00 |
| hex | 5069509380 |
345364272000 has 768 divisors, whose sum is σ = 1382129049600. Its totient is φ = 81925632000.
The previous prime is 345364271963. The next prime is 345364272037. The reversal of 345364272000 is 272463543.
345364272000 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 642 + 7 + 2 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (345364271963) and next prime (345364272037).
It is a super-3 number, since 3×3453642720003 (a number of 36 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74445681 + ... + 74450319.
It is an arithmetic number, because the mean of its divisors is an integer number (1799647200).
Almost surely, 2345364272000 is an apocalyptic number.
345364272000 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 345364272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691064524800).
345364272000 is an abundant number, since it is smaller than the sum of its proper divisors (1036764777600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345364272000 is a wasteful number, since it uses less digits than its factorization.
345364272000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4732 (or 4707 counting only the distinct ones).
The product of its (nonzero) digits is 120960, while the sum is 36.
The spelling of 345364272000 in words is "three hundred forty-five billion, three hundred sixty-four million, two hundred seventy-two thousand".
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