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30286336 = 29149397
BaseRepresentation
bin111001110001…
…0001000000000
32002222201001011
41303202020000
530223130321
63001050304
7515300233
oct163421000
962881034
1030286336
1116106633
12a186994
136375412
14404541a
1529d3ae1
hex1ce2200

30286336 has 40 divisors (see below), whose sum is σ = 61073100. Its totient is φ = 15003648.

The previous prime is 30286303. The next prime is 30286339. The reversal of 30286336 is 63368203.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29767936 + 518400 = 5456^2 + 720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30286298 and 30286307.

It is not an unprimeable number, because it can be changed into a prime (30286339) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76090 + ... + 76486.

Almost surely, 230286336 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 30286336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30536550).

30286336 is an abundant number, since it is smaller than the sum of its proper divisors (30786764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30286336 is an equidigital number, since it uses as much as digits as its factorization.

30286336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 30286336 is about 5503.3022813580. The cubic root of 30286336 is about 311.7086914967.

The spelling of 30286336 in words is "thirty million, two hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 397 512 596 794 1192 1588 2384 3176 4768 6352 9536 12704 19072 25408 38144 50816 59153 76288 101632 118306 203264 236612 473224 946448 1892896 3785792 7571584 15143168 30286336