Base | Representation |
---|---|
bin | 111001111001… |
… | …1100000000000 |
3 | 2010010022200000 |
4 | 1303303200000 |
5 | 30232420004 |
6 | 3002400000 |
7 | 516014562 |
oct | 163634000 |
9 | 63108600 |
10 | 30357504 |
11 | 16155051 |
12 | a200000 |
13 | 639b928 |
14 | 4063332 |
15 | 29e9c39 |
hex | 1cf3800 |
30357504 has 144 divisors (see below), whose sum is σ = 92415960. Its totient is φ = 9953280.
The previous prime is 30357487. The next prime is 30357517. The reversal of 30357504 is 40575303.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×303575042 = 1843156098220032, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497634 + ... + 497694.
Almost surely, 230357504 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 30357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207980).
30357504 is an abundant number, since it is smaller than the sum of its proper divisors (62058456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30357504 is an frugal number, since it uses more digits than its factorization.
30357504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 98 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 6300, while the sum is 27.
The square root of 30357504 is about 5509.7644232762. The cubic root of 30357504 is about 311.9526555380.
The spelling of 30357504 in words is "thirty million, three hundred fifty-seven thousand, five hundred four".
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