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30866688 = 283213397
BaseRepresentation
bin111010110111…
…1110100000000
32011002012010200
41311233310000
530400213223
63021325200
7523235226
oct165576400
964065120
1030866688
1116472666
12a406800
136519618
144156b16
152a9aa43
hex1d6fd00

30866688 has 54 divisors (see below), whose sum is σ = 89002914. Its totient is φ = 10288128.

The previous prime is 30866687. The next prime is 30866707. The reversal of 30866688 is 88666803.

It can be written as a sum of positive squares in only one way, i.e., 18249984 + 12616704 = 4272^2 + 3552^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30866687) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4395 + ... + 9002.

Almost surely, 230866688 is an apocalyptic number.

It is an amenable number.

30866688 is an abundant number, since it is smaller than the sum of its proper divisors (58136226).

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

30866688 is a wasteful number, since it uses less digits than its factorization.

30866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13419 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 30866688 is about 5555.7796932564. The cubic root of 30866688 is about 313.6871131030.

The spelling of 30866688 in words is "thirty million, eight hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 13397 26794 40191 53588 80382 107176 120573 160764 214352 241146 321528 428704 482292 643056 857408 964584 1286112 1714816 1929168 2572224 3429632 3858336 5144448 7716672 10288896 15433344 30866688