Base | Representation |
---|---|
bin | 1000110011101011… |
… | …0101100101000000 |
3 | 20002202201112102000 |
4 | 2030322311211000 |
5 | 14320220442143 |
6 | 1030333424000 |
7 | 112405441431 |
oct | 21472654500 |
9 | 6082645360 |
10 | 2364234048 |
11 | 1003604040 |
12 | 55b93b000 |
13 | 2b8a75377 |
14 | 185dcd488 |
15 | dc85dbd3 |
hex | 8ceb5940 |
2364234048 has 224 divisors, whose sum is σ = 7845552000. Its totient is φ = 691568640.
The previous prime is 2364234023. The next prime is 2364234073. The reversal of 2364234048 is 8404324632.
2364234048 is a `hidden beast` number, since 2 + 3 + 642 + 3 + 4 + 0 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (2364234023) and next prime (2364234073).
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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549088 + ... + 553376.
Almost surely, 22364234048 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 2364234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922776000).
2364234048 is an abundant number, since it is smaller than the sum of its proper divisors (5481317952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2364234048 is a wasteful number, since it uses less digits than its factorization.
2364234048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4350 (or 4334 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The square root of 2364234048 is about 48623.3899270711. The cubic root of 2364234048 is about 1332.1817786165.
It can be divided in two parts, 236423 and 4048, that added together give a triangular number (240471 = T693).
The spelling of 2364234048 in words is "two billion, three hundred sixty-four million, two hundred thirty-four thousand, forty-eight".
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