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30466368 = 2636653
BaseRepresentation
bin111010000111…
…0000101000000
32010022212000000
41310032011000
530244410433
63005000000
7516650142
oct164160500
963285000
1030466368
1116219919
12a253000
13640934a
144090c92
152a1c113
hex1d0e140

30466368 has 98 divisors (see below), whose sum is σ = 90782394. Its totient is φ = 10139904.

The previous prime is 30466357. The next prime is 30466369. The reversal of 30466368 is 86366403.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 7884864 = 4752^2 + 2808^2 .

It is a super-2 number, since 2×304663682 = 1856399158222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30466369) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46330 + ... + 46982.

Almost surely, 230466368 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 30466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45391197).

30466368 is an abundant number, since it is smaller than the sum of its proper divisors (60316026).

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

30466368 is an frugal number, since it uses more digits than its factorization.

30466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 30466368 is about 5519.6347705260. The cubic root of 30466368 is about 312.3251049091.

The spelling of 30466368 in words is "thirty million, four hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 653 729 864 972 1296 1306 1458 1728 1944 1959 2592 2612 2916 3888 3918 5184 5224 5832 5877 7776 7836 10448 11664 11754 15552 15672 17631 20896 23328 23508 31344 35262 41792 46656 47016 52893 62688 70524 94032 105786 125376 141048 158679 188064 211572 282096 317358 376128 423144 476037 564192 634716 846288 952074 1128384 1269432 1692576 1904148 2538864 3385152 3808296 5077728 7616592 10155456 15233184 30466368