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30514644 = 2234531777
BaseRepresentation
bin111010001100…
…1110111010100
32010102022020000
41310121313110
530302432034
63010011300
7520240656
oct164316724
963368200
1030514644
1116252116
12a276b30
136425304
1440a46d6
152a2b599
hex1d19dd4

30514644 has 60 divisors (see below), whose sum is σ = 81322164. Its totient is φ = 9974016.

The previous prime is 30514639. The next prime is 30514663. The reversal of 30514644 is 44641503.

30514644 is a `hidden beast` number, since 3 + 0 + 5 + 14 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18818244 + 11696400 = 4338^2 + 3420^2 .

It is a super-2 number, since 2×305146442 = 1862286996893472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16284 + ... + 18060.

Almost surely, 230514644 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 30514644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40661082).

30514644 is an abundant number, since it is smaller than the sum of its proper divisors (50807520).

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

30514644 is a wasteful number, since it uses less digits than its factorization.

30514644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30514644 is about 5524.0061549567. The cubic root of 30514644 is about 312.4899845323.

The spelling of 30514644 in words is "thirty million, five hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1777 1908 2862 3554 4293 5331 5724 7108 8586 10662 15993 17172 21324 31986 47979 63972 94181 95958 143937 188362 191916 282543 287874 376724 565086 575748 847629 1130172 1695258 2542887 3390516 5085774 7628661 10171548 15257322 30514644