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30267664 = 247535099
BaseRepresentation
bin111001101110…
…1100100010000
32002221202102121
41303131210100
530222031124
63000424024
7515161630
oct163354420
962852377
1030267664
11160a35a9
12a178014
136369a7b
14403c6c0
1529cd2e4
hex1cdd910

30267664 has 40 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 12724608.

The previous prime is 30267659. The next prime is 30267697. The reversal of 30267664 is 46676203.

It is a super-2 number, since 2×302676642 = 1832262968033792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3387 + ... + 8485.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 230267664 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 30267664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

30267664 is an abundant number, since it is smaller than the sum of its proper divisors (38031536).

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

30267664 is a wasteful number, since it uses less digits than its factorization.

30267664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 30267664 is about 5501.6055838273. The cubic root of 30267664 is about 311.6446205662.

The spelling of 30267664 in words is "thirty million, two hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5099 5936 10198 20396 35693 40792 71386 81584 142772 270247 285544 540494 571088 1080988 1891729 2161976 3783458 4323952 7566916 15133832 30267664