Base | Representation |
---|---|
bin | 10101000110101… |
… | …000111111100000 |
3 | 220200020020011200 |
4 | 111012220333200 |
5 | 1211114443204 |
6 | 55044441200 |
7 | 11526323421 |
oct | 2506507740 |
9 | 820206150 |
10 | 354062304 |
11 | 17194a282 |
12 | 9a6a9200 |
13 | 5847922b |
14 | 35047648 |
15 | 2113c539 |
hex | 151a8fe0 |
354062304 has 144 divisors (see below), whose sum is σ = 1042554240. Its totient is φ = 113921280.
The previous prime is 354062273. The next prime is 354062323. The reversal of 354062304 is 403260453.
354062304 is a `hidden beast` number, since 35 + 4 + 0 + 623 + 0 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3540623042 = 250720230227576832, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138309 + ... + 1138619.
It is an arithmetic number, because the mean of its divisors is an integer number (7239960).
Almost surely, 2354062304 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 354062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).
354062304 is an abundant number, since it is smaller than the sum of its proper divisors (688491936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354062304 is a wasteful number, since it uses less digits than its factorization.
354062304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 453 (or 442 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 27.
The square root of 354062304 is about 18816.5433595015. The cubic root of 354062304 is about 707.4458941339.
The spelling of 354062304 in words is "three hundred fifty-four million, sixty-two thousand, three hundred four".
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