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30199616 = 261741677
BaseRepresentation
bin111001100110…
…0111101000000
32002211022002022
41303030331000
530212341431
62555141012
7514456346
oct163147500
962738068
1030199616
1116057467
12a144768
136344ac5
144021996
1529b807b
hex1cccf40

30199616 has 56 divisors (see below), whose sum is σ = 65096136. Its totient is φ = 13844480.

The previous prime is 30199613. The next prime is 30199651. The reversal of 30199616 is 61699103.

It can be written as a sum of positive squares in 4 ways, for example, as 9985600 + 20214016 = 3160^2 + 4496^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30199613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44270 + ... + 44946.

It is an arithmetic number, because the mean of its divisors is an integer number (1162431).

Almost surely, 230199616 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 30199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32548068).

30199616 is an abundant number, since it is smaller than the sum of its proper divisors (34896520).

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

30199616 is a wasteful number, since it uses less digits than its factorization.

30199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 30199616 is about 5495.4177275254. The cubic root of 30199616 is about 311.4108980315.

The spelling of 30199616 in words is "thirty million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 677 697 1088 1312 1354 1394 2624 2708 2788 5416 5576 10832 11152 11509 21664 22304 23018 27757 43328 44608 46036 55514 92072 111028 184144 222056 368288 444112 471869 736576 888224 943738 1776448 1887476 3774952 7549904 15099808 30199616